Problema Solution

One car rental agency charges $20 per day plus $0.25 per mile. A different agency charges $37 per day with unlimited mileage. For what mileages is the second rental a better deal? Set up as an inequality.

Answer provided by our tutors

let 'x' be the miles traveled in a day


First car rental agency charges $20 per day plus $0.25 per mile will charge a total of


20 + 0.25x


Second car agency charges $37 per day with unlimited mileage or a total charge of


37 + 0*x = 37


For what mileages is the second rental a better deal? That is we need to find for what x


37 < 20 + 0.25x


by solving we find


x > 68 miles


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the second rental is better for more than 68 miles.