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.

Question

Mathematics

Atticus Walsh

25 October, 09:00

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.

+2

Answers (1)

Know the Answer?

Jairo Mejia · 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.