Question

Lamar runs each lap in 7 minutes. He will run at least 56 minutes today. What is the possible number of laps n he will run today? Write your answer as an inequality solved for n.

a) n≥56​/7
b) n≤56​/7
c) n>56​/7
d) n<56​/7

Answer 1

The correct inequality for the minimum number of laps Lamar will run given that he runs each lap in 7 minutes and will run at least 56 minutes today is n ≥ 56/7. This indicates that Lamar will run at least 8 laps.

Step-by-step explanation:

Lamar runs each lap in 7 minutes. If he will run for at least 56 minutes today, we are looking to express the minimum number of laps, n, he could run in that time. To find this, we must set up an inequality that takes into account the time per lap and the total time he plans to run.

The inequality would look like this: Lap time × Number of laps ≥ Total time, which translates to 7n ≥ 56. To solve for n, we divide both sides by 7, giving us n ≥ 56/7.

Therefore, the correct inequality solved for n is n ≥ 56/7, which indicates that Lamar will run at least 8 laps, because 56 divided by 7 equals 8. This corresponds to option (a) n≥ 56/7.