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## Homework Statement

The manager of a 120-room resort hotel has found that, on average, 50 rooms are booked when the price is $100 per night and 80 rooms are booked when the price is $80 per night. Find the demand function, assuming that it is linear, and what price should he charge to maximize revenue?

## Homework Equations

So I thought of it as two linear equations, but I don't understand how to obtain the demand function. Is it 100=50-x and 80=80-x? Doesn't seem right to me...

## The Attempt at a Solution

Sadly, all the other questions involve a single price, and I don't know how to work with two. Any help would be awesome!