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.

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

Step-by-step 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.