BRANLIEST A swimming club can currently accommodate up to 100 members for a year-long training program. They plan to increase their pool capacity to accommodate up to an additional 75 members into the program every year. To make a profit, the club must have at least 50 members enrolled in the program. The club manager expects the minimum membership requirement for making a profit to increase by 20% 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 members. She graphed the system to show the solution region when the club is making a profit.