Question

Jina is going to rent a truck for one day. There was two companies she can choose from, and they have the following prices. Company A charges $127 and allows unlimited mileage. Company B had an initial fee of $75 and charges an additional $0.80 for every mike 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

m > 650 miles

A mileage over 650 miles makes company A cheaper than B.

1) Gathering the data

Company A

$127 (unlimited mileage)

Company B

$75 + 0.08m

2) To find out the mileage that makes Company A cheaper than Company B, we can write out the following:

[tex]\begin{gathered} ANote that we've subtracted 75 from both sides and divided both sides by 0.08.

3) Hence when we drive over 650 miles the Company A becomes cheaper than B.