1. The problem statement, all variables and given/known data 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? 2. Relevant 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... 3. 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!