Question

A rental car company charges $77.50 per day to rent a car and $0.14 for every miledriven. Juan wants to rent a car, knowing that:• He plans to drive 425 miles.• He has at most $230 to spend.Write and solve an inequality which can be used to determine d, the number of daysJuan can afford to rent while staying within his budget.

Answer 1

The required inequality is;

$\begin{gathered} 77.50d+0.14(425)\leq230 \\ 77.5d+59.5\leq230 \end{gathered}$

To solve the inequality, we have,

$\begin{gathered} 77.5d\leq230-59.5 \\ 77.5d\leq170.5 \\ \text{Dividing both sides by 77.5 we get,} \\ d\leq\frac{170.5}{77.5} \\ d\leq2.2 \end{gathered}$

This implies that Juan can only afford 2 days' rent under his budget.