Question

Renee’s car costs her \($195$per month plus \)$0.09$ per mile. How many miles can Renee drive so that her monthly car expenses are no more than $$250$?

Short answer

Renee can drive$611$miles.

Step-by-step solution

Step 1. Given Information

Total expenses$=\$250$

Additional cost per mile$=\$0.09$

We need to find the total miles than can be driven within the expenses given.

Step 2. Solving the inequality

Let $m$be the total miles that can be driven.

Then, according to the question,

$$\begin{gathered} 195+(0.09\times m)\le 250 \\ 0.09m\le 250-195 \\ 0.09m\le 55 \\ m\le 611.1 \end{gathered}$$