The total cost, in dollars, to rent a surfboard consists of a $ 25 service fee and a $ 10

Question

The total cost, in dollars, to rent a surfboard consists of a $dollar sign 25$ service fee and a $dollar sign 10$ per hour rental fee. A person rents a surfboard for $t$ hours and intends to spend a maximum of $dollar sign 75$ to rent the surfboard. Which inequality represents this situation?

A.

$10 t less than or equals 75$

B.

$10 + 25 t \leq 75$

C.

$25 t less than or equals 75$

D.

$25 + 10 t \leq 75$

Accepted Answer

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 10 t 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 + 10 t 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 + 10 t d 75 represents this situation. Choice A is incorrect. This represents a situation where the rental fee, not the total cost, is at most 75 dollars. Choice B is incorrect and may result from conceptual or calculation errors. Choice C is incorrect and may result from conceptual or calculation errors.

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