Final answer:
To find the number of people that can attend the Sunday evening game to have an average attendance for the weekend of at most 24,000, we can use an inequality. The inequality is (25,400 + 23,700 + x) / 3 ≤ 24,000. Solving the inequality gives the answer: 'x ≤ 22,900'.
Step-by-step explanation:
To find the number of people that can attend the Sunday evening game to have an average attendance for the weekend of at most 24,000, we can use an inequality. Let 'x' represent the number of people attending the Sunday evening game. The average attendance for the weekend can be calculated by finding the sum of the attendances for all three games (Friday night, Saturday afternoon, and Sunday evening) and dividing by 3.
The inequality can be written as:
(25,400 + 23,700 + x) / 3 ≤ 24,000
To solve for 'x', we can first simplify the equation by multiplying both sides by 3:
25,400 + 23,700 + x ≤ 24,000 * 3
Next, we can combine like terms:
49,100 + x ≤ 72,000
Finally, we can isolate 'x' by subtracting 49,100 from both sides:
x ≤ 72,000 - 49,100
This simplifies to:
x ≤ 22,900
Therefore, at most 22,900 people can attend the Sunday evening game to have an average attendance for the weekend of at most 24,000.