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Algebra / Linear inequalities in one or two variables Difficulty: Easy

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?

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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 $10 t$ dollars. The total cost of the rental consists of the rental fee plus the $25$ dollar service fee, which yields a total cost of $25 plus 10 t$ 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 $25 + 10 t \leq 75$ 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.