Hayden is the owner of a hotel. She has found that when she charges a nightly cost of $280.00, an average of 130 rooms are occupied. In addition, Hayden has found that with every $7.00 increase in the average nightly cost, the number of rooms occupied decreases by an average of 10.
If Hayden's nightly revenue, R(x), can be modeled by by a quadratic function, where x is the number of $7.00 increases over $280.00, then which of the following functions correctly models the situation above?
A. R(x) = -70.00(x-26.5)^2 - 36,400.00
B. R(x) = 70.00(x+26.5)^2+49,157.50
C. R(x) = -70.00(x-13.5)^2 + 49,157.50
D. R(x) = -70.00(x-13.5)^2+36,400.00