Question

a rental car company charges $30 per day to rent a car and $0.12 for every mile driven. Andrew wants to rent a car, knowing that He plans to drive 350 miles. He has at most 150 to spend.write and solve an inequality which can be used to determine d, the number of days Andrew can afford to rent while staying within his budget.

Answer 1

Let d represent the number of days Andrew can afford to rent while staying within his budget.​

Let m represent the number of miles driven

We were told that the rental car company charges $30 per day to rent a car and $0.12 for every mile driven.The cost for d days would be $30d. The total cost for d days would be

0.12m + 30d

Given that he has at most $150 to spend, it means that the amount he needs to spend is less than or equal to $150

The inequality representing this scenario would be

$\begin{gathered} 0.12m\text{ + 30d }\leq\text{ 150} \\ Given\text{ that m = 350, it becomes} \\ 0.12\text{ }\times350\text{ + 30d}\leq150 \\ 42\text{ + 30d }\leq150 \\ 30d\text{ }\leq150\text{ - 42} \\ 30d\text{ }\leq108 \\ d\text{ }\leq\text{ }\frac{108}{30} \\ d\text{ }\leq3.6 \end{gathered}$

This means that the number of days is 3 because it cannot be a fraction. It is not up to 4 days