The total cost, in dollars, to rent a surfboard consists of a $25 service fee and a $10 per hour rental fee. A person rents a surfboard for t hours and intends to spend a maximum of $75 to rent the surfboard. Which inequality represents this situation?
Correct answer: D. 25 + 10t ≤ 75
- A. 10t ≤ 75
- B. 10 + 25t ≤ 75
- C. 25t ≤ 75
- D. 25 + 10t ≤ 75
Explanation
Choice D is correct. The cost of the rental fee depends on the number of hours the surfboard is rented. Multiplying t hours by 10 dollars per hour yields a rental fee of 10t dollars. The total cost of the rental consists of the rental fee plus the 25 dollar service fee, which yields a total cost of 25 + 10t dollars. Since the person intends to spend a maximum of 75 dollars to rent the surfboard, the total cost must be at most 75 dollars. Therefore, the inequality 25 + 10t ≤ 75 £represents this situation.
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