Question

A soccer team has a maximum of 90 minutes of practice time. They split that time between drills and scrimmages. Scrimmages take at least 30 minutes. What does the system of inequalities represent in this situation?

A) x + y ≥ 90, x ≤ 30
B) x + y = 90, x > 30
C) x - y ≤ 90, x ≥ 30
D) x + y ≤ 90, x ≥ 30

Answer 1

The system of inequalities that represents this situation is x + y ≤ 90, x ≥ 30. This means that the total practice time must be less than or equal to 90 minutes, and the time spent on scrimmages must be greater than or equal to 30 minutes.

Step-by-step explanation:

The system of inequalities that represents this situation is D) x + y ≤ 90, x ≥ 30.

This system states that the total practice time (x + y) must be less than or equal to 90 minutes, and the time spent on scrimmages (x) must be greater than or equal to 30 minutes.

For example, if the team spends 30 minutes on scrimmages, they can spend a maximum of 60 minutes on drills (90 - 30 = 60), satisfying the inequalities.