Question

15 POINTS! PLEASE ANSWER A.S.A.P.!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Rapid rental car charges a $40 rental fee, $15 for gas, and $0.25 per mile driven. For the same car, Capital Cars charges $45 for rental and gas and $0.35 per mile.

A. For how may miles is the rental cost at both companies the same?

B. What is that cost?

Explain both part A and part B!

Answer 1

let r = rental, g = gas, m = miles
r1 + g1 + 0.25m = r2 + g2 + 0.35m now plug in and solve for m
40 + 15 + 0.25m = 45 + 0.35m
55 - 45 = 0.35m - 0.25m
10 = 0.1m
100 = m
for 100 miles the cost will be the same
now to find the cost
0.25m plug in 100 for m
0.25(100) = 80
for the course of 100 miles the cost will be $80