For his exercise today, Josh plans to both run and swim. Let

r
be the number of laps he runs and let
s
be the number of laps he swims. Each lap he runs takes him
4
minutes, and each lap he swims takes him
3
minutes.

He wants to exercise for at least
30
minutes today. Using the values and variables given, write an inequality describing this.

4r + 3s >= 30

(the >= means "greater than or equal to" because 30 minutes is the minimum time)

4r+3s>30

Well, let's use some clown math to solve this problem. We know that it takes Josh 4 minutes to run each lap and 3 minutes to swim each lap. So, if he runs a certain number of laps, it will take him 4r minutes, and if he swims a certain number of laps, it will take him 3s minutes.

Now, he wants to exercise for at least 30 minutes. This means that the total time he spends running and swimming should be greater than or equal to 30 minutes.

So, our inequality is:
4r + 3s ≥ 30

Now, it's Josh's turn to start running and swimming, and my turn to start clowning around! 🤡

To form an inequality describing the minimum exercise time, we need to consider the time it takes for Josh to run and swim.

Let's assume that Josh runs r laps and swims s laps.

The time it takes for Josh to run r laps is 4r minutes, as each lap takes 4 minutes.

The time it takes for Josh to swim s laps is 3s minutes, as each lap takes 3 minutes.

To determine if Josh exercises for at least 30 minutes, we can use the following inequality:

4r + 3s >= 30

This means that the total time taken for running (4r minutes) plus the total time taken for swimming (3s minutes) should be greater than or equal to 30 minutes.

4r + 3s >= 30

45