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11 June, 19:18

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.

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  1. 11 June, 21:52
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    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)

    Answer:

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