Question

You have at most 120 minutes to spend in the gym and in the pool. You want to spend no more than 45 minutes in the gym and at least 30 minutes in the pool. Which system represents the situation?

Answer 1

The situation can be represented using a system of inequalities with variables for the number of minutes spent in the gym and the pool. The inequalities include limits for each activity and the total time available.

Step-by-step explanation:

The given situation is that you have at most 120 minutes to spend in the gym and in the pool. You want to spend no more than 45 minutes in the gym and at least 30 minutes in the pool. This can be represented using a system of inequalities.

Let x represent the number of minutes spent in the gym, and y represent the number of minutes spent in the pool.

The inequalities can be written as:

• x ≤ 45 (since you want to spend no more than 45 minutes in the gym)
• y ≥ 30 (since you want to spend at least 30 minutes in the pool)
• x + y ≤ 120 (since you have at most 120 minutes)

This system of inequalities represents the given situation.