Question

1. Five Star Carz rents cars for $28 plus $0.05 per mile, and GoCars rents cars for $25 plus

$0.07 per mile. Write a system of equations that represents the scenario. Then use
substitution to create one equation, and use it to determine the number of miles that
will make the cost equal at both car rentals.
A. System:
B. Substitute:
C. At what number of miles will the cost the same?

Answer 1

A. System:

y = 0.05x + 28

y = 0.07x + 25

B. Substitute:

0.07x + 25 = 0.05x + 28

C. At what number of miles will the cost the same?

150

Explanation:

Let y = cost. Let x = number of miles.

Five Star CArz:

y = 0.05x + 28

GoCars:

y = 0.07x + 25

System of equations:

y = 0.05x + 28

y = 0.07x + 25

Substitute y of the first equation with 0.07x + 25

0.07x + 25 = 0.05x + 28

0.02x = 3

x = 150

The costs are the same at 150 miles.