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

Answer:

D. 80

Step-by-step 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 ⇒

$f(h)=750=350+5h$ ⇒

$750=350+5h\\750-350=5h\\400=5h\\h=\frac{400}{5}=80$

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