Question

A daycare center charges $300 per month for preschool and $3.50 per hour every hour after preschool. The function c = 300 + 3.50h can be used to represent the total cost c of monthly preschool and childcare, where h is the number of hours spent in childcare after preschool. If the one month charges for one child totaly $637.75, what was the total number of hours the child spent in childcare after preschool? *

Answer 1

Answer:

The total number of hours the child spent in childcare after preschool was 96.5.

Step-by-step explanation:

The cost of the preschool, in function of the number of hours that the child spent there, is given by the following equation:

$c(h) = 300 + 3.5h$

If the one month charges for one child totaly $637.75, what was the total number of hours the child spent in childcare after preschool?

This is h when c(h) = 637.75. So

$c(h) = 300 + 3.5h$

$637.75 = 300 + 3.5h$

$3.5h = 337.75$

$h = \frac{337.75}{3.5}$

$h = 96.5$

The total number of hours the child spent in childcare after preschool was 96.5.