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.

write an expression to represent the nightly cost with x $15 price increases.

Step-by-step explanation:

Without price increase,

Cost/night = $119

Average occupancy = 372

The revenue will be 119*372 = $44,268

For every $15 price increase, the occupancy decreases by 25.

Therefore with x price increases,

Cost/night = $119 + 15x

Occupancy = 372 - 25x

The revenue will be $(119 + 15x)*(372 - 25x)

The nightly cost with x $15 price increases is $119 + 15x.

this is not the answer this is just a question. is this middle school math?

step-by-step explanation:

answer: the proof is mentioned below.

step-by-step explanation:

since, given:   lines bc = ef

prove:   lines ac > ef

          statements                                           reason

1. bc=ef                                           1. given

2. ac= ab+bc                                 2. because b is the point between the  

                                                            line segment ac

3.   ac > bc                                       3. because if a line segment is equal to

                                                          the sum of two line segments then it is

                                                          always greater then each of these

                                                          individual line segments

4. ac > ef                                         4. by equality property.