Question:

# A hotel currently has enough room to accommodate at most 200

Last updated: 6/23/2023

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 0 What system of inequalities did the manager create 4 8 12 16 Years X 28 20 24