Final answer:
The inequality representing the number of homework problems that can be finished before soccer practice is 5p ≤ 40. Solving for 'p', we get p ≤ 8. This means you can get 8 or fewer homework problems finished before practice.
Step-by-step explanation:
To determine the number of problems you can get finished before soccer practice, you need to subtract the time it takes to eat dinner from the total available time. Then, divide the remaining time by the time it takes to complete one homework problem. Let's denote the number of problems you can get finished as 'p'.
Given that it takes you 20 minutes to eat dinner, the remaining time available is 60 minutes - 20 minutes = 40 minutes. Since it takes 5 minutes per homework problem, the inequality representing the number of problems you can get finished before practice is 5p ≤ 40. Solving for 'p', we divide both sides of the inequality by 5 to get p ≤ 8.
This means you can get 8 or fewer homework problems finished before soccer practice.