Joe runs each lap in 8 minutes. He will run at most 56 minutes today. What are the possible numbers of laps he will run today?
Use n for the number of laps he will run today.
Write your answer as an inequality solved for n.

To determine the possible number of laps Joe can run today, let's set up an inequality based on the given information.

- Joe takes 8 minutes to complete one lap.
- He will run for at most 56 minutes today.

Let \( n \) represent the number of laps Joe will run. The total time he spends running is \( 8n \) minutes, since each lap takes 8 minutes.

Since he can run at most 56 minutes, we set up the inequality:

\[
8n \leq 56
\]

Now, solve for \( n \):

\[
n \leq \frac{56}{8}
\]

\[
n \leq 7
\]

Thus, the number of laps Joe can run today is at most 7 laps. Since the number of laps must be a positive integer, the possible values of \( n \) are:

\[
n \in \{1, 2, 3, 4, 5, 6, 7\}
\]

The inequality solved for \( n \) is:

\[
n \leq 7
\]

Do you have any questions or need further details?

### Related questions:
1. If Joe wanted to run at least 4 laps, how would the inequality change?
2. How long would it take Joe to run 5 laps?
3. What is the total distance Joe runs if each lap is 400 meters?
4. How many laps would Joe complete if he ran for 40 minutes?
5. If Joe increases his lap time by 1 minute, how many laps could he complete in 56 minutes?

### Tip:
When solving inequalities, remember to flip the inequality sign if you divide or multiply both sides by a negative number.

Joe runs each lap in 8 minutes. He will run at most 56 minutes today. What are the possible numbers of laps he will run today? Use n for the number of laps he will run today. Write your answer as an inequality solved for n.

Learn how to solve the inequality 8n ≤ 56 to find out how many laps Joe can run in 56 minutes if each lap takes 8 minutes. This solution involves basic algebra and inequality-solving techniques, perfect for students in Grades 6-8.

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