Final answer:
The correct inequality representing the number of shirts Lisa can buy is 20.62x ≤ 74.13, meaning the total cost for 'x' number of shirts must not exceed her remaining budget.
Step-by-step explanation:
The student is attempting to determine the inequality that represents the number of shirts Lisa can buy with her remaining budget. Lisa has already spent $125.87 and has a budget of $200.00. Each shirt costs $20.62. We need to find the number of shirts, represented by 'x', that she can purchase without exceeding her budget.
To calculate the remaining budget, we subtract the amount already spent from the total budget: $200.00 - $125.87 = $74.13. This is the maximum amount Lisa can spend on additional shirts. Since each shirt costs $20.62, we use this value to create an inequality that shows the relationship between the number of shirts (x) Lisa can buy and her remaining budget. Therefore, the correct inequality is 20.62x ≤ 74.13, which corresponds to option (c). This inequality states that the cost of the shirts Lisa wants to buy, multiplied by the number of shirts 'x', must be less than or equal to her remaining budget of $74.13.