Question

Frank found a rental car deal online for $\backslash (49$per week plus $\backslash )0.24$ per mile. How many miles could he drive if he wants the total cost for one week to be no more than $\$150$?

Short answer

Frank must drive$420$miles.

Step-by-step solution

Step 1. Given Information  

Rental car deal includes$\$49$per week plus$\$0.24$ per mile.

Total cost should be not more than$\$150$.

Step 2. Finding number of miles

Let $x$be the miles Frank should drive.

$$\begin{gathered} \therefore 49+0.24x\le 150 \\ \Rightarrow 0.24x\le 150-49 \\ \Rightarrow 0.24x\le 101 \\ \Rightarrow x\le \frac{101}{0.24} \\ \Rightarrow x\le 420.8 \\ \therefore x\approx 420 \end{gathered}$$