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

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

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 = (337.75)/(3.5)`

`h = 96.5`

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