Question

A rental car agency rents cars for $32 per day. They also charge $0.15 per mile driven. If you are taking a 5-day trip and have budgeted $250 for the rental car, what is the maximum number of miles you can drive and stay within your budget? Write, solve, and graph an inequality that represents this situation.

Answer 1

1st agency cost = 29 + 0.08x for x miles of driving.
2nd agency cost = 18 + 0.15x for x miles of driving.
When are the costs equal?
EQUATION:
29 + 0.08x = 18 + 0.15x
11 = 0.07x
x = 157.143 miles
When the driver drives 157.143 miles the cost will be equal