Final answer:
Jill can buy two pairs of shorts with the remaining amount on her gift card after purchasing four shirts. She will spend $28 on shirts, leaving her with $22, which is enough for exactly two pairs of shorts at $11 each.
Step-by-step explanation:
The student wants to know how many pairs of shorts Jill can buy with a $50 gift card after purchasing four shirts at $7.00 each. To solve this problem, we first calculate the total cost of the shirts: 4 shirts × $7.00 per shirt = $28. Then we subtract this amount from the gift card value to find out how much money Jill has left for shorts: $50 - $28 = $22. Given that shorts cost $11 a pair, Jill can buy:
Number of shorts = Money left for shorts ÷ Cost per pair of shorts
Number of shorts = $22 ÷ $11
Number of shorts = 2 pairs
Therefore, the inequality representing Jill's remaining budget for shorts is:
11x ≤ 22, where x is the number of pairs of shorts Jill can buy. Since 2 × 11 = 22, Jill can buy exactly 2 pairs of shorts, making option C the correct answer.