Final answer:
The inequality that best represents the situation where Peter runs no more than 60 minutes a day, and each lap takes 1.5 minutes is 1.5x ≤ 60, which simplifies to x ≤ 60/1.5, indicating that Peter can run at most 40 laps.
Step-by-step explanation:
Peter wants to run no more than 60 minutes a day on the school track, where each lap takes him 1.5 minutes to complete. To determine the greatest number of laps (x) he could run, we must find an inequality that represents this situation. The inequality should show that the total time spent running laps (1.5 minutes per lap times the number of laps) is less than or equal to the maximum time he wants to spend running (60 minutes).
The correct inequality is 1.5x ≤ 60, which can also be expressed as x ≤ 60/1.5. This simply means that the total time spent for x laps at 1.5 minutes each should not be more than 60 minutes. To find the greatest possible number of laps, we can divide 60 by 1.5, giving us x ≤ 40. Therefore, Peter can run at most 40 laps.