Question

A rental car company charges $77.25 per day to rent a car and $0.12 for every mile

driven. Owen wants to rent a car, knowing that:
He plans to drive 175 miles.
He has at most $330 to spend.
.
.
Write and solve an inequality which can be used to determine x, the number of days
Owen can afford to rent while staying within his budget.

Answer 1

Owen can afford to keep and drive the car for 4 days.

Explanation:

The total owing on the car rental is R(d) = ($77.25/day)d + ($0.12/mile)m ≤ $330. Substitute 1 for d (that is, the rental is for 1 day) and 175 for m:

R(d) = ($77.25/day)(d days) + ($0.12/mile)(175 miles) ≤ $330

= $77.25d + $21 ≤ $330

This simplifies to $77.25d + $21 ≤ $330, or

$77.25d ≤ $309

Solving this by dividing both sides of the above equation by $77.25, we get

d = ($309)/($77.25) = 4

Owen can afford to keep and drive the car for 4 days.