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A rental car company charges $77.50 per day to rent a car and $0.10 for every mile driven. Sydney wants to rent a car, knowing that: She plans to drive 275 miles. She has at most $260 to spend. Write and solve an inequality which can be used to determine xx, the number of days Sydney can afford to rent while staying within her budget.

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RevyBreeze

Answer:

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

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