Maria is going to rent a truck for one day. There are two companies she can choose from, and they have the following prices. Company A charges $121 and allows unlimited mileage. Company B has an initial fee of $65 and charges an additional $0.70 for every mile driven. For what mileages will Company A charge less than Company B?

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1 Answer

Equation for company A is A=121 where A is dollars.

Equation for company B is B=65+0.70m where m is the mileage.

A<B when 121<65+0.70m,

56<0.70m,

56/0.70<m, m>56/0.70=560/7=80 miles.

So the mileage needs to be more than 80 for A to charge less than B.

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