2. The cost that a carpet cleaning company charges is directly proportional to the number of rooms cleaned. The cost is $22 for each room. (a) Write a direct variation equation to represent the cost. (b) How many rooms can a hotel pay the company to clean for $200? Write and solve an equation. (c) Suppose the hotel plans to tip the carpet cleaners $40, how many rooms can the hotel get cleaned for $200 now? Write and solve an equation.2. The cost that a carpet cleaning company charges is directly proportional to the number of rooms cleaned. The cost is $22 for each room. (a) Write a direct variation equation to represent the cost. (b) How many rooms can a hotel pay the company to clean for $200? Write and solve an equation. (c) Suppose the hotel plans to tip the carpet cleaners $40, how many rooms can the hotel get cleaned for $200 now? Write and solve an equation.