A rental car company offers two rental plans, Plan A and Plan B, for the same economy size car. For both plans, the total rental cost is a function f(m) of the number of miles m that the car is driven. In addition to a flat fee of $75, Plan A
offers a rate of $0.20 per mile for an unlimited number of miles. Plan B offers a higher mileage rate of $0.35 per mile but
does not charge a flat fee for the rental.
1. Create a system of linear functions modeling the cost of the car rental plans, A and B, as a function of the miles
driven.
2. For how many miles m will the rental fee be the same under both plans A and B?