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Linear inequalities in one or two variables SAT question
Math · Algebra · Easy · Answer it here, explanation included.
The total cost, in dollars, to rent a surfboard consists of a service fee and a per hour rental fee. A person rents a surfboard for hours and intends to spend a maximum of to rent the surfboard. Which inequality represents this situation?
ExplanationShow
Choice D is correct. The cost of the rental fee depends on the number of hours the surfboard is rented. Multiplying hours by dollars per hour yields a rental fee of dollars. The total cost of the rental consists of the rental fee plus the dollar service fee, which yields a total cost of dollars. Since the person intends to spend a maximum of dollars to rent the surfboard, the total cost must be at most dollars. Therefore, the inequality represents this situation.
Choice A is incorrect. This represents a situation where the rental fee, not the total cost, is at most 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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