Question

You have at most 7 hours to spend playing soccer and swimming. You

want to spend at least 2 hours playing soccer and more than 2 hours
swimming. Write and graph a system that represents the situation. Give
one example of the amount of time you can spend on each activity.

Answer 1

To represent the given situation, we set up a system of inequalities and graph it on a coordinate plane. One example of the time you can spend on each activity is given.

Step-by-step explanation:

To represent the situation, we can set up a system of inequalities:

Let x be the number of hours spent playing soccer and y be the number of hours spent swimming.

The constraints are:

x >= 2 (at least 2 hours playing soccer)

y > 2 (more than 2 hours swimming)

x + y <= 7 (at most 7 hours total)

To graph this system, we plot these inequalities on a coordinate plane. The shaded region where all the inequalities overlap represents the possible solutions.

One example of the amount of time you can spend on each activity is x = 2.5 hours (playing soccer) and y = 4 hours (swimming).

Answer 2

Step-by-step explanation: