Question

Kaitlin 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 has no initial fee but charges
90 cents for every mile driven.
Company B charges an initial fee of $65 and an additional 40 cents for every mile driven.
For what mileages will Company A charge more than Company B?
Use m for the number of miles driven, and solve your inequality for m.

Answer 1

The equation for Company A: c = .90m where c = cost and m = miles driven
The equation for Company B: c = .40m + 65 where c = cost & m = miles driven

Setup:
Company A > Company B
.90m > .40m + 65
.50m > 65                     Subtracted .40m from both sides of inequality
m > 130                        Divided both sides of inequality by .50
Company A will charge more than Company B after 130 miles.