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

Answer:

Company A has a greater daily rate

Step-by-step 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