Keith 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 $120 and allows unlimited mileage.

Company B has an initial fee of $75 and charges an additional $0.90 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.

Question

Mathematics

Tristen Murray

13 August, 07:09

Keith 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 $120 and allows unlimited mileage.

Company B has an initial fee of $75 and charges an additional $0.90 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.

+3

Answers (1)

Know the Answer?

Esmeralda Craig · Answer 1

Answer: m>50

Step-by-step explanation:

Hi, to answer this question we have to write an inequality:

The amount charged by company A (120) must be less (<) than the fixed amount charged by company B (75), plus the product of the cost per mile driven (0.90) and the number of miles driven (m).

120 < 75 + 0.90m

Solving for m:

120-75<0.90m

45<0.90m

45/0.90
50
Company A charges less than Company B when m > 50.

Feel free to ask for more if needed or if you did not understand something.