Leila is going to rent a truck for one day. There are two companies she can choose from, and they have the following prices.

Question

Company A charges $102 and allows unlimited mileage. Company B has an initial fee of $75 and charges an additional $0.60 for every mile driven. For what mileages will Company A charge less than Company B? Use m for the number of miles driven, and solve your inequality for m.

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Answer 1

more than 43 miles

102 = 75 + (6/10)m

solve for m

(6/10)m = 27

m = 27(10/6) = 43 miles

at 43 miles, they charge the same

at more than 43, A charges less

at less than 43, B charges less