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, 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. Create a system of linear functions modeling the cost of the car rental plans, A and B, as a function of the miles driven. For how many miles, m, will the rental fee be the same under both plans A and B?
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