Question

the cost of a car rental is 30$ per day plus 19c per mile. you are on a daily budget of $87. write and shovel an inequality to find the greatest distance you can drive each day while staying within your budget.

Answer 1

`\begin{gathered} 30+0.19x\le87 \\ x\le300 \end{gathered}`

Explanation:

We know that a penny is equal to 0.01 dollar, which means that we can establish the following equality:

`\begin{gathered} 30+0.19x\le87 \\ \text{where x are the miles driven} \end{gathered}`

Solving for x:

`\begin{gathered} 0.19x\le87-30 \\ x\le(57)/(0.19) \\ x\le300 \end{gathered}`

300 miles is the maximum for the $ 87 budget