Question

A truck rental company charges $50 plus $10 per hour. Identify a function that represents the total charge for renting a truck for a certain number of hours. What is the value of the function for an input of 4, and what does it represent?

Answer 1

c(h) = 50 +10h

c(4) = 90 . . . . . it costs $90 to rent the truck for 4 hours

Explanation:

The problem statement tells you the total charge is the sum of $50 and a charge of $10 per hour. That is, for h hours, the total charge is ...

c = 50 + 10h

In functional form, this is ...

c(h) = 50 +10h . . . . . . total charger for a rental of h hours

__

The function value with an input of 4 is ...

c(4) = 50 +10·4

c(4) = 90

Since the input is the number of hours of rental, and the function value is the total charge, this represents the total charge for a rental of 4 hours.