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A rental car company charges $71.87 per day to rent a car and $0.09 for every mile driven. Aaliyah wants to rent a car, knowing that: She plans to drive 475 miles. She has at most $320 to spend. Which inequality can be used to determine dd, the maximum number of days Aaliyah can afford to rent for while staying within her budget?

User James Youngman
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1 Answer

12 votes
12 votes

Answer:

To rent a car from this company, Aaliyah will be charged a base rate of $71.87 per day, plus $0.09 for every mile she drives. In total, she plans to drive 475 miles, so she will be charged an additional $0.09 * 475 = $42.75 for the miles she drives.

The total cost of renting the car for one day will therefore be $71.87 + $42.75 = $114.62.

Aaliyah has a budget of $320, so she can afford to rent a car for a maximum of $320 / $114.62 = 2.79 days. However, since she can only rent the car for whole number of days, the maximum number of days she can afford is 2 days.

The inequality that can be used to determine the maximum number of days Aaliyah can afford to rent while staying within her budget is:

dd <= 2

Where dd is the number of days she plans to rent the car for. This inequality states that the maximum number of days Aaliyah can afford is 2.

User DBedrenko
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