Question

Jenny is going to rent a truck for one day. There are two companies she can choose from, and they have the following prices.Company A charges an initial fee of $25 and an additional 60 cents for every mile driven.Company B charges an initial fee of $57.50 and an additional 10 cents for every mile driven.For what mileages will Company A charge less than Company B?Write your answer as an inequality, using m for the number of miles driven.

Answer 1

We have the following

Company A:

$A=25+0.6\cdot m$

Company B:

$B=57.50+0.1\cdot m$

Therefore:

$\begin{gathered} 25+0.6\cdot m<57.50+0.1\cdot m \\ 0.6m-0.1m<57.50-25 \\ 0.5m<32.5 \\ m<\frac{32.5}{0.5} \\ m<65 \end{gathered}$

In this case, alla values less than 65 miles, company A would have a lower value, all value greater than 65 miles, company A would be more expensive