Question

At a home improvement store, customers can rent a small cargo truck to transport any large items they purchase. The store charges $20.00 as a rental fee plus $7.50 per hour to rent the truck identify the initial value and rate of change

Answer 1

From the information provided,

The initial value is $20. This is because this amount is paid even before the truck is used for any given number of hours.

The function that models the cost of rental is;

`\begin{gathered} y=20+7.5x \\ \text{Where y represents the cost of rental for x number of hours} \end{gathered}`

The rate of change therefore is 7.5

This is also refered to as the "slope" in math.

The rate of change directly affects the total cost, that is y. Each time the value of x changes, the value of y also changes accordingly.