Question

A rental car company charges $22.50 per day to rent a car and $0.10 for every mile driven. Salma wants to rent a car, knowing that:
She plans to drive 275 miles.
She has at most $140 to spend.

Write and solve an inequality which can be used to determine dd, the number of days Salma can afford to rent while staying within her budget.

Answer 1

Let d be the number of days. The total cost is 22.50d + 0.10(275). The budget gives the inequality

22.50d + 0.10(275) ≤ 140.

Compute 0.10(275) = 27.50, so

22.50d + 27.50 ≤ 140
22.50d ≤ 112.50
d ≤ 112.50 / 22.50 = 5.

Salma can afford to rent the car for at most 5 days (an integer number of days).