Question

Peter owns a hotel. He has found that when he charges $119 for a night’s stay, the average occupancy is 372 people. In addition, Peter has found that with every $15 increase in the nightly cost, the hotel occupancy decreases by an average of 25.

Part A: Write an expression to represent the nightly cost with x $15 price increases.
a) $119 - $15x
b) $119 + $15x
c) $119 * $15x
d) $119 / $15x

Answer 1

The correct expression to represent the nightly cost after x $15 price increases from an initial cost of $119 is b) $119 + $15x.

Step-by-step explanation:

The expression to represent the nightly cost of Peter's hotel with x $15 price increases is simply the initial cost plus $15 for each increase. So if the initial cost is $119 and there are x increases of $15 each, the cost would increase linearly according to the number of increases. Therefore, the correct expression representing the nightly cost after x price increases is:

b) $119 + $15x

This is analogous to the example given where Svetlana earns $25 plus $15 per hour of tutoring, expressed as y = $25 + $15x, where x represents the number of hours tutored.