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A 300300-room hotel collects $75\$75 per occupied room and does not collect any money for vacant rooms. Which of the following functions best represents how many dollars, dd, the hotel generates if there are vv vacant rooms in the hotel?\newlineChoose 11 answer:\newline(A) d=75(300v)d=75(300-v)\newline(B) d=75(300+v)d=75(300+v)\newline(C) d=300(75v)d=300(75-v)\newline(D) d=300(75+v)d=300(75+v)

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Q. A 300300-room hotel collects $75\$75 per occupied room and does not collect any money for vacant rooms. Which of the following functions best represents how many dollars, dd, the hotel generates if there are vv vacant rooms in the hotel?\newlineChoose 11 answer:\newline(A) d=75(300v)d=75(300-v)\newline(B) d=75(300+v)d=75(300+v)\newline(C) d=300(75v)d=300(75-v)\newline(D) d=300(75+v)d=300(75+v)
  1. Calculate total revenue: Calculate the total revenue if all rooms are occupied. Since each room costs $75\$75 and there are 300300 rooms, the total revenue would be 300×$75=$22,500300 \times \$75 = \$22,500.
  2. Determine revenue lost: Determine the revenue lost due to vacant rooms. If there are vv vacant rooms, the revenue lost is $75\$75 per vacant room, so the total loss is 75×v75 \times v.
  3. Subtract to find actual revenue: Subtract the revenue lost from the total potential revenue to find the actual revenue. The actual revenue, dd, is given by d=2250075vd = 22500 - 75v. Simplifying this, we get d=75(300v)d = 75(300 - v).

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