Questions: He wants to exercise for more than 30 minutes today. Using the values and variables given, write an inequality describing this. For his exercise today, Bill 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 more than 30 minutes today. Using the values and variables given, write an inequality describing this. For his exercise today, Bill 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.
Transcript text: He wants to exercise for more than 30 minutes today. Using the values and variables given, write an inequality describing this. For his exercise today, Bill 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.
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Solution

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Write an inequality describing Bill's exercise plan where he wants to exercise for more than 30 minutes today.

Define the variables and their meanings.

Let \( r \) be the number of laps Bill runs, and let \( s \) be the number of laps he swims. Each running lap takes 4 minutes, and each swimming lap takes 3 minutes.

Write the expression for total exercise time.

The total exercise time is \( 4r + 3s \) minutes.

Set up the inequality based on the condition.

Since Bill wants to exercise for more than 30 minutes, the inequality is \( 4r + 3s > 30 \).

The inequality describing Bill's exercise plan is \\(\boxed{4r + 3s > 30}\\).

The inequality describing Bill's exercise plan is \\(\boxed{4r + 3s > 30}\\).

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