at what mileage will both companies cost the same amount? Basic Rental is $65 a day plus .25 cents per mile and Roadrunner is $50 a day plus .50 per mile

Question

at what mileage will both companies cost the same amount? Basic Rental is $65 a day plus .25 cents per mile and Roadrunner is $50 a day plus .50 per mile

Answer 1

This question gives us two equations:

The cost of the Basic Rental is 65 + 0.25x, where x is the number of miles

The cost of Roadrunner is 50 + 0.50x

We will set these two equations equal to each other because we are looking for when they cost the same amount. We get the following equation:

65 + 0.25x = 50 + 0.50x

We want x to be alone on one side, so we will subtract 0.25x from both sides, as well as subtract 50 from both sides. This results in:

15 = 0.25x

We now divide both sides by 0.25 to get x alone on one side and the solution.

15/0.25 = 60 = x

So the two companies will cost the same at 60 miles.

Answer 2

Rosa:

Let M be the number of miles driven.

The cost for the basic rental is 65 + .25*M in terms of M miles driven

The cost for the roadrunner is 50 + .5*M in terms of M miles driven

The costs will be equal when 65 + .25*M = 50 + .5M

or M = 60