Hello, please assist me with this problem, much appreciated:

In 2006. hotels in Mesa and Chandler; Arizona, raised room rates by 8.7% over the prior year's rates and still lled more rooms than the year before. The average daily rate of a room in 2005 was $81.77.T (a) To what price did the room rates rise in 2006? [Round your answer to the nearest cent.) $ (h) [f the room rates continue to rise at 8.7% a year for the next Few years, write a Function, R\"), to determine the room late, R, in dollars for a given year, y, since 2005. Riv) : (c) If their room rates continue to rise at 8.7% a year, determine the average daily rate of a worn in 2011. [Round your answer to the nearest cent.) 3