Question

Dana needs to rent a car while on vacation. the rental company charges $19.95, plus 19 cents for each mile driven. If Dana only has $50 to spend on the car rental, what is the maximum number of miles she can drive?

Answer 1

We know that

• The company charges $19.95 plus $0.19 for each mile driven.

,

• Dana just has $50 to spend.

Based on the given information, we can define the following expression

$19.95+0.19x\leq50$

Then, we solve for x

$\begin{gathered} 0.19x\leq50-19.95 \\ 0.19x\leq30.05 \\ x\leq\frac{30.05}{0.19} \\ x\leq158.2 \end{gathered}$

Hence, the maximum number of miles Dana can drive is 158.