SAT question b75f7812 (Linear Inequalities)

Question

Maria plans to rent a boat. The boat rental costs $ 60 per hour, and she will also have to pay for a water safety course that costs $ 10 . Maria wants to spend no more than $ 280 for the rental and the course. If the boat rental is available only for a whole number of hours, what is the maximum number of hours for which Maria can rent the boat?

College Board · Accepted Answer

The correct answer is 4. The correct answer is 4 . The inequality 60h + 10 ≤ 280 , where h is the number of hours the boat has been rented, can be written to represent the situation. Subtracting 10 from both sides and then dividing by 60 yields h ≤ 4.5 . Since the boat can be rented only for whole numbers of hours, the maximum number of hours for which Maria can rent the boat is 4 .

CookSAT · Answer

Note: The inequality $60h + 10 \leq 280$ is graphed, and the boundary solves to $h = 4.5$. Since $h$ must be a whole number, the answer is 4.

Explanation

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SAT Question b75f7812: Linear Inequalities answer and explanation with Desmos solution

Explanation

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