Question

George wants to rent a car for a road trip with his friends. He checked the rentals with two companies. Company A charges a non-refundable fee of $50 and then also $150 for each day. Company B charges using the function 50(2+1). Compare the two functions. Which function has a great rate of change?

Answer 1

Company A has a greater daily rate

Explanation:

Given

Company A

`Base\ Charges=\$50`

`Daily\ Rate = \$150`

Company B

`f(x) = 50(2x +1)`

Required

Determine the company with greater rate

Simplify the expression of company B

`f(x) = 50(2x +1)`

`f(x) = 50 * 2x + 50 * 1`

`f(x) = 100x + 50`

In a linear function:

`f(x) = mx + b`

m represents the rates.

This implies that the rate of company B is:

`Rate =100`

and the rate of company A is

`Daily\ Rate = \$150`

By comparison:

Company A has a greater daily rate