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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 de inequalities, where x is time from today, in years, and y is the nuřber of members. She
graphed the system to show the solution region when the club is making a profit.


Sagot :

The club has currently 100 members and plans to increase 75 members each year x to make a profit y.

She modeled this situation using the inequalities

y≥ 75x+100

y≤ 50 (1.2)ˣ

y≥ 75x+100

y is the profit and x is the number of years.

The profit increases as the number of the members increases each year.

The club must have at least 50 members.

y≤ 50 (1.2)ˣ

here y is the profit and x is the number of years.

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Answer:

Step-by-step explanation:

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