Final answer:
Henry will run at least 11 laps, with each lap taking 7 minutes, as he plans to run for a minimum of 77 minutes. There's no upper limit mentioned for the number of laps.
Step-by-step explanation:
The question requires us to determine the possible numbers of laps Henry could run if he runs each lap in 7 minutes and he plans to run for at least 77 minutes today.
To solve this mathematical problem completely, we use the variable n to represent the number of laps. The inequality that represents this scenario is: 7n ≥ 77.
Step 1: Divide both sides of the inequality by 7 to isolate n.
n ≥ 77 / 7.
Step 2: Simplify the equation to find the minimum number of laps Henry can run.
n ≥ 11.
Thus, Henry will run at least 11 laps, but he could run more. There's no maximum number of laps given, as long as the time per lap is 7 minutes or more.