SAT Math · Linear inequalities in one or two variables · easy

A parking garage charges a 5 base fee plus 2.50 for each hour parked. A customer wants to pay no more than $25 total. What is the maximum…

A parking garage charges a $5 base fee plus $2.50 for each hour parked. A customer wants to pay no more than $25 total. What is the maximum number of whole hours the customer can park?

Answer and explanation

Answer: D: 8

The total cost after hh hours is 5+2.50h5 + 2.50h, and it must be at most $25. Write 5+2.5h≤255 + 2.5h \leq 25. Subtract 5: 2.5h≤202.5h \leq 20. Divide by 2.5: h≤8h \leq 8. Since the customer can park only whole hours, the maximum is 8, choice D. Check: 8 hours cost 5+20=255 + 20 = 25, exactly the limit. Choice A (10) comes from dividing $25 by $2.50 and ignoring the base fee. Choice B (9) rounds up after a miscalculation, and 9 hours would cost $27.50. Choice C (7) is too small since 8 hours still fits the budget.

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