Rooms at a hotel are regularly $110, but the cost of every room is reduced by $2

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Rooms at a hotel are regularly $110, but the cost of every room is reduced by $2 for each additional room rented. 

(a) Write a quadratic function C that gives the total cost of renting x rooms. 

(b) Solve C(x) = 1470 and interpret the result. 

(c) Find the absolute maximum for C and interpret your result.

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