SOLUTION: A 650 room hotel in Orlando is filled to capacity every night when the room price is 90 per night. For every $5 dollar increase in price , 10 fewer rooms are filled. Find a linear

Question 1196916: A 650 room hotel in Orlando is filled to capacity every night when the room price is 90 per night. For every $5 dollar increase in price , 10 fewer rooms are filled. Find a linear formula for the number of rooms demanded, N, as a function of price p
Answer by ikleyn(52790) (Show Source): You can put this solution on YOUR website!
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A 650 room hotel in Orlando is filled to capacity every night when the room price is 90 per night.
For every $5 dollar increase in price , 10 fewer rooms are filled.
Find a linear formula for the number of rooms demanded, N, as a function of price p.
~~~~~~~~~~~~~~~~~

We know that the formula is linear, and we know that the slope is this negative ratio

    m =  = -2, 


which means that 2 rooms become vacant for each $1 increase in price.


Therefore, the formula for N(p) is  N{p) = 650 - 2p.    ANSWER


The formula really describes that 10 rooms become vacant as the price increase by $5.

Solved and explained.

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