Manuel renting a truck

Question

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

Company A charges $76

 and allows unlimited mileage.

Company B has an initial fee of $55

 and charges an additional $0.70

 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

Answer 1

A costs 76, B costs 55+.7m

76<55+.7m

21<.7m

21/.7<m

210/7<m

30<m

m>30 miles

for more than 30 miles A is cheaper than B