Final answer:
The inequality representing all possible combinations of shirts (x) and jeans (y) Ella can buy within her $250 budget is 3x + 8y ≤ 250.
This equation accounts for the price of shirts and jeans and the constraint that the total cost must not exceed the budget given by Ella's mother.
Step-by-step explanation:
The question is asking about developing an inequality to represent a budget constraint situation where Ella has $250 to spend on clothes with shirts priced at $3 and jeans at $8.
To find all possible combinations of shirts and jeans that Ella can buy without exceeding her budget, we use an inequality.
The inequality to represent this scenario would be 3x + 8y ≤ 250, where x represents the number of shirts and y represents the number of jeans.
In this inequality, the '3x' term represents the total cost of the shirts, and '8y' represents the total cost of the jeans.
The ≤ symbol denotes that the combined cost must be less than or equal to $250. The inequality encompasses all combinations of shirts and jeans that meet this budget constraint.