Arental car company offers two rental plans, plan a and plan b, for the same economy size car. for both plans, the total rental cost, ƒ(m) is a function 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?