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

A moving truck rental costs no more than 150 per day. The base fee is 40, plus $22 per hour of use. What is the maximum number of whole…

A moving truck rental costs no more than $150 per day. The base fee is $40, plus $22 per hour of use. What is the maximum number of whole hours the truck can be used?

Answer and explanation

Answer: C: 5

Write the cost as 40+22h40 + 22h and require it to be at most $150: 40+22h≤15040 + 22h \leq 150. Subtract 40: 22h≤11022h \leq 110. Divide by 22: h≤5h \leq 5. The maximum whole number of hours is 5, choice C. Check: 5 hours cost 40+110=$15040 + 110 = \$150, exactly the limit, while 6 hours would cost $172. Choice A (6) overshoots the budget. Choice B (4) is allowed, but it is not the maximum. Choice D (7) results from forgetting the base fee: 15022≈6.8\frac{150}{22} \approx 6.8, then rounding up. Include the fixed fee before dividing.

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