53:@0.904366:0.963104:0.932133:0.963104:0.932133:0.941283:0.904366:0.941283:0.000000:0.000000
Matemática:@0.795130:0.956142:0.879896:0.956142:0.879896:0.943479:0.795130:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
10.º EGB:@0.820728:0.967458:0.879897:0.967458:0.879897:0.954794:0.820728:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DUA:@0.748004:0.068322:0.791647:0.068322:0.791647:0.048070:0.748004:0.048070:0.000000:0.000000:0.000000
. Representación:@0.791647:0.067693:0.923937:0.067693:0.923937:0.050792:0.791647:0.050792:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2. :@0.096354:0.100402:0.113528:0.100402:0.113528:0.083778:0.096354:0.083778:0.000000:0.000000:0.000000
Ahora, consideremos el caso de una vendedora de artículos deportivos que ha :@0.120089:0.100402:0.716529:0.100402:0.716529:0.084013:0.120089:0.084013:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
puesto a la venta balones de fútbol a un precio de 10 dólares. :@0.120089:0.116998:0.573843:0.116998:0.573843:0.100609:0.120089:0.100609:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.096354:0.140717:0.100390:0.140717:0.100390:0.124328:0.096354:0.124328:0.000000
  Registremos las ventas de 1, 2, 3, 4 y 5 balones en una tabla y grafiquemos estos :@0.120098:0.140717:0.716578:0.140717:0.716578:0.124328:0.120098:0.124328:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
valores en un plano cartesiano.:@0.120089:0.157313:0.346948:0.157313:0.346948:0.140925:0.120089:0.140925:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
N.° de :@0.157765:0.214736:0.204035:0.214736:0.204035:0.199371:0.157765:0.199371:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
balones:@0.150528:0.229823:0.207804:0.229823:0.207804:0.214459:0.150528:0.214459:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.239249:0.222279:0.247424:0.222279:0.247424:0.207380:0.239249:0.207380:0.000000
2:@0.274864:0.222279:0.283039:0.222279:0.283039:0.207380:0.274864:0.207380:0.000000
3:@0.310480:0.222279:0.318655:0.222279:0.318655:0.207380:0.310480:0.207380:0.000000
4:@0.346095:0.222279:0.354270:0.222279:0.354270:0.207380:0.346095:0.207380:0.000000
5:@0.381711:0.222279:0.389886:0.222279:0.389886:0.207380:0.381711:0.207380:0.000000
Cantidad :@0.146239:0.249311:0.215561:0.249311:0.215561:0.233947:0.146239:0.233947:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de dinero:@0.144497:0.264399:0.213852:0.264399:0.213852:0.249035:0.144497:0.249035:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
10:@0.235178:0.256855:0.251528:0.256855:0.251528:0.241956:0.235178:0.241956:0.000000:0.000000
20:@0.270793:0.256855:0.287144:0.256855:0.287144:0.241956:0.270793:0.241956:0.000000:0.000000
30:@0.306409:0.256855:0.322759:0.256855:0.322759:0.241956:0.306409:0.241956:0.000000:0.000000
40:@0.342024:0.256855:0.358375:0.256855:0.358375:0.241956:0.342024:0.241956:0.000000:0.000000
50:@0.377640:0.256855:0.393990:0.256855:0.393990:0.241956:0.377640:0.241956:0.000000:0.000000
10:@0.433655:0.258935:0.444442:0.258935:0.444442:0.249475:0.433655:0.249475:0.000000:0.000000
0:@0.440184:0.279521:0.445577:0.279521:0.445577:0.270062:0.440184:0.270062:0.000000
2:@0.522387:0.281977:0.527781:0.281977:0.527781:0.272517:0.522387:0.272517:0.000000
3:@0.561171:0.280663:0.566564:0.280663:0.566564:0.271203:0.561171:0.271203:0.000000
1:@0.484371:0.280663:0.489765:0.280663:0.489765:0.271203:0.484371:0.271203:0.000000
20:@0.433129:0.243494:0.443916:0.243494:0.443916:0.234035:0.433129:0.234035:0.000000:0.000000
4:@0.599565:0.280663:0.604959:0.280663:0.604959:0.271203:0.599565:0.271203:0.000000
y:@0.434748:0.182112:0.439700:0.182112:0.439700:0.172653:0.434748:0.172653:0.000000
x:@0.691115:0.274320:0.695983:0.274320:0.695983:0.264860:0.691115:0.264860:0.000000
5:@0.637971:0.280663:0.643364:0.280663:0.643364:0.271203:0.637971:0.271203:0.000000
6:@0.676376:0.280663:0.681769:0.280663:0.681769:0.271203:0.676376:0.271203:0.000000
30:@0.433666:0.228054:0.444452:0.228054:0.444452:0.218595:0.433666:0.218595:0.000000:0.000000
40:@0.433319:0.212614:0.444105:0.212614:0.444105:0.203155:0.433319:0.203155:0.000000:0.000000
50:@0.433014:0.197174:0.443800:0.197174:0.443800:0.187715:0.433014:0.187715:0.000000:0.000000
Cantidad de dinero:@0.454653:0.185763:0.546369:0.185763:0.546369:0.175253:0.454653:0.175253:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
N.° balones:@0.624513:0.289917:0.678295:0.289917:0.678295:0.279406:0.624513:0.279406:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(2, 20):@0.503822:0.233948:0.535690:0.233948:0.535690:0.222597:0.503822:0.222597:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(3, 30):@0.563483:0.238679:0.595351:0.238679:0.595351:0.227328:0.563483:0.227328:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(4, 40):@0.580830:0.202869:0.612698:0.202869:0.612698:0.191518:0.580830:0.191518:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(5, 50):@0.639708:0.207195:0.671576:0.207195:0.671576:0.195843:0.639708:0.195843:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(1, 10):@0.490677:0.265858:0.522544:0.265858:0.522544:0.254507:0.490677:0.254507:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Identificamos las variables y escribimos la función que modela el problema; es decir, :@0.096359:0.319549:0.716505:0.319549:0.716505:0.303160:0.096359:0.303160:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
planteamos la función para un número cualquiera de balones que se venda. ¿Cuál :@0.096359:0.336146:0.716562:0.336146:0.716562:0.319757:0.096359:0.319757:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
será el ingreso por vender 100 balones? ¿Qué tipo de gráfica se proyecta con los :@0.096359:0.352742:0.716576:0.352742:0.716576:0.336353:0.096359:0.336353:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
puntos del plano cartesiano obtenidos? :@0.096359:0.369338:0.391364:0.369338:0.391364:0.352950:0.096359:0.352950:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Solución:@0.096359:0.400194:0.160137:0.400194:0.160137:0.383556:0.096359:0.383556:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Variable dependiente ( ): la cantidad de dinero que obtenga por la venta.:@0.096359:0.423913:0.631214:0.423913:0.631214:0.407524:0.096359:0.407524:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.262499:0.423913:0.269981:0.423913:0.269981:0.408520:0.262499:0.408520:0.000000
Variable independiente ( ): el número de balones que venda.:@0.096359:0.447632:0.541785:0.447632:0.541785:0.431243:0.096359:0.431243:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.276228:0.447632:0.283691:0.447632:0.283691:0.432239:0.276228:0.432239:0.000000
Entonces, como el precio de un balón es de 10 dólares, la función es   = 10 .:@0.096359:0.471351:0.654766:0.471351:0.654766:0.454962:0.096359:0.454962:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.599576:0.471351:0.607057:0.471351:0.607057:0.455958:0.599576:0.455958:0.000000
x:@0.644097:0.471351:0.651560:0.471351:0.651560:0.455958:0.644097:0.455958:0.000000
Para determinar el valor que la vendedora obtenga por 100 balones, evaluamos la :@0.096359:0.495070:0.716541:0.495070:0.716541:0.478681:0.096359:0.478681:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
función para   = 100::@0.096359:0.511666:0.249714:0.511666:0.249714:0.495277:0.096359:0.495277:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.193012:0.511666:0.200475:0.511666:0.200475:0.496273:0.193012:0.496273:0.000000
f :@0.287564:0.535385:0.295580:0.535385:0.295580:0.519992:0.287564:0.519992:0.000000:0.000000
(100) = 10(100) = 1 000 dólares.:@0.295580:0.535385:0.525351:0.535385:0.525351:0.518996:0.295580:0.518996:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si observamos los puntos en el plano cartesiano, considerando que si no vende :@0.096359:0.559104:0.716611:0.559104:0.716611:0.542715:0.096359:0.542715:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ningún balón, no hay ingresos, y uniendo los pares ordenados obtenidos, resulta :@0.096359:0.575701:0.716521:0.575701:0.716521:0.559312:0.096359:0.559312:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una línea recta.:@0.096359:0.592297:0.207255:0.592297:0.207255:0.575908:0.096359:0.575908:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Esta recta es la gráfica que resulta de una función del tipo  ( ) = :@0.096359:0.616016:0.612499:0.616016:0.612499:0.599627:0.096359:0.599627:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f  x:@0.562026:0.616016:0.585152:0.616016:0.585152:0.600623:0.562026:0.600623:0.000000:0.000000:0.000000:0.000000
mx:@0.615908:0.616016:0.638003:0.616016:0.638003:0.600623:0.615908:0.600623:0.000000:0.000000
 +  , que :@0.638003:0.616016:0.716541:0.616016:0.716541:0.599627:0.638003:0.599627:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.663875:0.616016:0.673144:0.616016:0.673144:0.600623:0.663875:0.600623:0.000000
precisamente toma el nombre de función lineal y que se tratará en el tema 5 de esta :@0.096359:0.632612:0.716466:0.632612:0.716466:0.616223:0.096359:0.616223:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
unidad. :@0.096359:0.649209:0.155328:0.649209:0.155328:0.632820:0.096359:0.632820:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3. :@0.096359:0.680064:0.113534:0.680064:0.113534:0.663440:0.096359:0.663440:0.000000:0.000000:0.000000
Un auto se desplaza a una velocidad de 10 :@0.120094:0.680064:0.456043:0.680064:0.456043:0.663675:0.120094:0.663675:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m/s. En ese instante, divisa un semáforo y :@0.120094:0.696660:0.455989:0.696660:0.455989:0.680272:0.120094:0.680272:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
frena pausadamente, de modo que su :@0.120094:0.713257:0.456065:0.713257:0.456065:0.696868:0.120094:0.696868:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
velocidad se reduce en 2 m/s cada segundo, :@0.120094:0.729853:0.456011:0.729853:0.456011:0.713464:0.120094:0.713464:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hasta  detenerse. Con  estas  condiciones,  la :@0.120094:0.746450:0.456046:0.746450:0.456046:0.730061:0.120094:0.730061:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
velocidad  del  auto,  en  cada  instante  de :@0.120094:0.763046:0.456039:0.763046:0.456039:0.746657:0.120094:0.746657:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tiempo, se modela por la función   = 10 – 2 . :@0.120094:0.779642:0.455991:0.779642:0.455991:0.763253:0.120094:0.763253:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v:@0.370026:0.779642:0.377766:0.779642:0.377766:0.764249:0.370026:0.764249:0.000000
t:@0.443368:0.779642:0.448749:0.779642:0.448749:0.764249:0.443368:0.764249:0.000000
Realicemos  la gráfica de la función y :@0.120094:0.796239:0.456076:0.796239:0.456076:0.779850:0.120094:0.779850:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
calculemos  el  tiempo  en  que  el  auto  se :@0.120094:0.812835:0.456039:0.812835:0.456039:0.796446:0.120094:0.796446:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
detendrá completamente. :@0.120094:0.829431:0.316990:0.829431:0.316990:0.813042:0.120094:0.813042:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Solución :@0.096359:0.867409:0.163491:0.867409:0.163491:0.850772:0.096359:0.850772:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En la gráfica podemos observar que la velocidad   = 0 es en   = 5 :@0.096359:0.891128:0.575233:0.891128:0.575233:0.874740:0.096359:0.874740:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v:@0.455250:0.891128:0.462990:0.891128:0.462990:0.875735:0.455250:0.875735:0.000000
t:@0.537769:0.891128:0.543150:0.891128:0.543150:0.875735:0.537769:0.875735:0.000000
s:@0.575233:0.891128:0.581609:0.891128:0.581609:0.875735:0.575233:0.875735:0.000000
Interdisciplinariedad:@0.750200:0.599083:0.907406:0.599083:0.907406:0.582182:0.750200:0.582182:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Matemática y Física:@0.755005:0.628247:0.895639:0.628247:0.895639:0.612883:0.755005:0.612883:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Las funciones juegan un :@0.755005:0.646893:0.920719:0.646893:0.920719:0.631994:0.755005:0.631994:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
papel fundamental en la :@0.755005:0.661980:0.921858:0.661980:0.921858:0.647081:0.755005:0.647081:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
física, ya que permiten :@0.755005:0.677068:0.908219:0.677068:0.908219:0.662169:0.755005:0.662169:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
describir y modelar una :@0.755005:0.692156:0.915710:0.692156:0.915710:0.677256:0.755005:0.677256:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
amplia variedad de :@0.755005:0.707243:0.886174:0.707243:0.886174:0.692344:0.755005:0.692344:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fenómenos naturales y :@0.755005:0.722331:0.910651:0.722331:0.910651:0.707432:0.755005:0.707432:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sus relaciones :@0.755005:0.737418:0.851013:0.737418:0.851013:0.722519:0.755005:0.722519:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemáticas. En la física, :@0.755005:0.752506:0.921840:0.752506:0.921840:0.737607:0.755005:0.737607:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
las funciones son :@0.755005:0.767594:0.873059:0.767594:0.873059:0.752695:0.755005:0.752695:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
utilizadas para relacionar :@0.755005:0.782681:0.922812:0.782681:0.922812:0.767782:0.755005:0.767782:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
variables, como la :@0.755005:0.797769:0.877429:0.797769:0.877429:0.782870:0.755005:0.782870:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
velocidad y el tiempo, o la :@0.755005:0.812856:0.932277:0.812856:0.932277:0.797957:0.755005:0.797957:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fuerza y la masa, etc.:@0.755005:0.827944:0.890578:0.827944:0.890578:0.813045:0.755005:0.813045:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Cómo se relaciona la :@0.755005:0.846590:0.896144:0.846590:0.896144:0.832596:0.755005:0.832596:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
velocidad con el :@0.755005:0.861677:0.859957:0.861677:0.859957:0.847684:0.755005:0.847684:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
desplazamiento y el :@0.755005:0.876765:0.883695:0.876765:0.883695:0.862771:0.755005:0.862771:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tiempo?:@0.755005:0.891853:0.806418:0.891853:0.806418:0.877859:0.755005:0.877859:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v(m/s):@0.515591:0.667372:0.549609:0.667372:0.549609:0.655615:0.515591:0.655615:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t(s):@0.694645:0.804587:0.711084:0.804587:0.711084:0.792830:0.694645:0.792830:0.000000:0.000000:0.000000:0.000000
Ingresa al sitio web del :@0.754949:0.161869:0.910410:0.161869:0.910410:0.146970:0.754949:0.146970:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
enlace::@0.754949:0.176956:0.801722:0.176956:0.801722:0.162057:0.754949:0.162057:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lynk.ec/10mt05:@0.754949:0.195602:0.858345:0.195602:0.858345:0.180477:0.754949:0.180477:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Realiza las actividades.:@0.754949:0.214248:0.899402:0.214248:0.899402:0.200254:0.754949:0.200254:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Digital:@0.806723:0.129428:0.857193:0.129428:0.857193:0.112527:0.806723:0.112527:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
No toda relación es una :@0.754530:0.390384:0.915940:0.390384:0.915940:0.375485:0.754530:0.375485:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
función.:@0.754530:0.405472:0.808574:0.405472:0.808574:0.390573:0.754530:0.390573:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En una función, el :@0.754530:0.424118:0.877192:0.424118:0.877192:0.409219:0.754530:0.409219:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dominio es el conjunto de :@0.754530:0.439205:0.933612:0.439205:0.933612:0.424306:0.754530:0.424306:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
partida.:@0.754530:0.454293:0.805072:0.454293:0.805072:0.439394:0.754530:0.439394:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En una función, todos los :@0.754530:0.472939:0.926157:0.472939:0.926157:0.458040:0.754530:0.458040:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
elementos del conjunto :@0.754530:0.488026:0.917997:0.488026:0.917997:0.473127:0.754530:0.473127:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de partida tienen solo :@0.754530:0.503114:0.904580:0.503114:0.904580:0.488215:0.754530:0.488215:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una imagen en el :@0.754530:0.518202:0.874511:0.518202:0.874511:0.503303:0.754530:0.503303:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
conjunto de llegada.:@0.754530:0.533289:0.891498:0.533289:0.891498:0.518390:0.754530:0.518390:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
     Matemática:@0.775396:0.357944:0.882936:0.357944:0.882936:0.341043:0.775396:0.341043:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684192:0.079553:0.268045:0.061505:0.268045:0.061505:0.684192:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000