Question

A rental car company charges $150.00 for a weekly rental and an additional $0.20 for each mile driven. The function rule C = 0.20m+ 150.00 describes the relationship between the number of miles driven m and the total cost C. If the rental car can only be driven a maximum of 200 miles, what is a reasonable graph of the function rule?

Answer 1

A rental car company charges $150.00 for a weekly rental and an additional $0.20 for each mile driven.

The function
`C = 0.20m+ 150.00` ,

where m is the number of miles and C is the total cost.

Since it is given that : If the rental car can only be driven a maximum of 200 miles.

Then the total cost for this is,

`C = 0.20 (200)+150` or

`C= 40+150`

On simplify we get,

`C = \$ 190`

A rental Car can only be driven a maximum of 200 miles for a cost of $ 190.

Graph the function :
`C = 0.20m+ 150.00` as shown in the attachment.