Question

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.

Answer 1

Answer: m>50

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 <m

50<m

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.