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