Question

The cost of a car rental is $40 per day plus 19¢ per mile. You are on a daily budget of $59. Write and solve an inequality to find the greatest distance you can drive each day while staying within your budget.

Answer 1

Cost = 40 + 19m

ok

This is the inequality

`\text{ 59 }\leq\text{ 40 + 0.19m}`

Find the greatest distance

`\begin{gathered} \text{ 59 }\leq\text{ 40 + 0.19m} \\ \text{ 59 - 40 }\leq\text{ 0.19m} \\ \text{ 19 }\leq\text{ 0.19m} \\ \text{ }(19)/(0.19)\text{ }\leq\text{ m} \\ \text{ m }\leq\text{ 100} \end{gathered}`

I can drive at most 100 miles.