Final answer:
Option C) 20s + 30c ≤ 1000 represents all possible combinations of s stools and c chairs.
Step-by-step explanation:
The inequality that represents all possible combinations of s stools and c chairs for the Shelby Community Center's seating purchase is option C) 20s + 30c ≤ 1000.
This inequality states that the total cost, which is determined by the number of stools and chairs purchased, cannot exceed $1000. The coefficients 20 and 30 represent the cost of each stool and chair, respectively.
For example, if you want to find out if a combination of 10 stools and 15 chairs is within the budget, you can substitute s = 10 and c = 15 into the inequality:
20(10) + 30(15) ≤ 1000
200 + 450 ≤ 1000
650 ≤ 1000
The inequality is true since 650 is less than or equal to 1000, meaning that the combination of 10 stools and 15 chairs falls within the budget.