L Por el alquiler de un coche cobran 100
pesos diarios mas 0.30 centavo por
kilometro. Encuentra la ecuacion de la recta
que relacoma el costo diarlo con el número
de kilometros
y representala.Si en un dia
se ha hecho un total de 300 km, que
importe debemos abonar?
Answers
Answer:
Sabemos que el costo del alquiler es 100 pesos diarios, más 0.30 pesos por kilómetro.
Entonces, solo por alquilar el coche por un día, hay que pagar 100 pesos.
Si además lo conduces x kilómetros, tendrás que pagar x veces 0.30 pesos.
Entonces el costo diario, en pesos, será:
C(x) = 100 + 0.30*x
Para graficar esta ecuación simplemente se deben encontrar dos pares:
(x, C(x)) en un eje de coordenadas, y luego conectarlos con una línea.
Por ejemplo, si tomamos:
x = 0
C(0) = 100 + 0.30*0 = 100
entonces tenemos el par (0, 100)
si x = 10
c(10) = 100 + 0.30*10 = 100 + 3 = 103
entonces tenemos el par (10, 103)
Ahora podemos graficar esos dos puntos y conectarlos con una línea, como en el ejemplo de abajo.
b)
También queremos conocer el costo diario si se han hecho un total de 300km.
Entonces simplemente reemplazamos x por 300 en la ecuación del costo:
C(300) = 100 + 0.30*300 = 100 + 90 = 190
El costo será de 190 pesos.
El dinero total a pagar por 300 Km es de 190 pesos.
La ecuación de una recta viene dada por y = mx + c
m = pendiente
c = intersección
Así, dado que cobran 100 pesos por día más 0,30 centavos por kilómetro, podemos escribir;
y = 100 + 0,30 x
Dado también que hay un total de 300 km, ahora tenemos;
y = 100 + 0.3(300) = 190 pesos
Más información sobre la ecuación:https://brainly.com/question/22929949
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