Question

Record your answers on the answer sheet provided by your teacher or on a sheet of paper.

The table shows the cost of renting a moving van. If Miguel budgeted $75, how many miles could he drive the van and maintain his budget?

Short answer

Miguel can drive the van $425$ miles in $\$75$.

Step-by-step solution

Step 1. Given information.

Miguel budget is$\$75$and a table of renting rate.

Step 2. To find the number of miles could he drive the van in $75.

According to given table,

The flat fee of the van is $\$50$for $300$miles.

So, he drives$300$ miles for the $\$50$.

The remaining budget is $\$75-\$50=\$25$.

Because fee of per mile is $\$0.20$.

$\begin{array}{c}1\$=\frac{1}{0.20}\text{miles}\\ \text{\$25=}\frac{1}{0.20}\left(25\right)\text{miles}\\ =\frac{1}{\frac{20}{100}}\left(25\right)\text{miles}\\ \text{=}\frac{100}{20}\left(25\right)\\ =125\text{miles}\end{array}$

Step 3. Conclusion.

Therefore, the total miles he can drive the van is:

$\begin{array}{l}300\text{miles}+125\text{miles}\\ =425\text{miles}\end{array}$

Hence, Miguel can drive the van$425$ miles in $\$75$.