Question

Ravi is going to rent a truck for one day. There are two companies you can choose from and they have the following prices. Company A charge is $83 and allows unlimited mileage. Company B has an initial fee of $65 in charges an additional $.90 for every miles 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

Given:

Two companies to rent a truck.

Let the number of miles = m

Let y = the total charge to rent a truck

Company A charge is $83 and allows unlimited mileage.

So, y1 = 83

Company B has an initial fee of $65 in charges an additional $.90 for every mile driven.

So, y2 = 65 + 0.9m

We will find when will company A charge less than Company B

So, y1 < y2

So, the inequality will be as follows:

`83<65+0.9m`

Solve for m:

`\begin{gathered} 83-65<0.9m \\ 18<0.9m \\ (18)/(0.9)20 \end{gathered}`

So, company A charges less than Company B when the number of miles greater than 20 miles