Question

For one child, a childcare facility charges $350 per month for preschool and $5.00 per hour for each additional hour for after-school care. The function below can be used to determine f(h), the monthly fee for after-school care and preschool, where h represents the number of hours spent in after-school care. f(h) = 350 + 5h If the total monthly bill for one child was $750, what was the total number of hours the child spent in after-school care? A. 100 B. 90 C. 88 D. 80

Answer 1

D. 80

Explanation:

We have the following function :

`f(h)=350+5h` (I)

Where
`f(h)` is the monthly fee for after - school care and preschool.

Where
`h` represents the number of hours spent in after - school care.

We know that the total monthly bill for one child was $750 ⇒

`f(h)=750`

Using (I) we will find the value of the hours ''
`h`'' that verifies the expression ⇒

`f(h)=750=350+5h` ⇒

`750=350+5h\\750-350=5h\\400=5h\\h=(400)/(5)=80`

We find that the value of the hours ''
`h`'' is 80 hours.

The total number of hours the child spent in after - school care is D. 80