A hotel currently has enough room to accommodate at most 200 guests per night. They plan to expand their capacity by 12 guests every year. In order to make a profit, the hotel must have at least 40 guests staying in the hotel. The hotel manager expects that threshold to increase by 10% every year. The manager modeled this situation with a system of inequalities, where x is time from today in years and y is the number of guests. He graphed the system to show the solution region when the hotel is making a profit. Number of Guests 560 480 400 320 240 160 80 What system of inequalities did the manager create? X 0 4 8 12 16 20 24 28 Years