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. Part A
Write an expression to represent the nightly cost with x $15 price increases.

$119 + $15x

Part B
Write an expression to represent the average occupancy with x $15 price increases.

Please help, thank you. :)

sorry, i can't understand your question. will later if you describe more clearly!

: )

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1

5+2x=a

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