Question

You have a $250 gift card to use at a sporting goods store. a) Write an inequality that represents the possible numbers x of pairs of socks you can buy when you buy 2 pairs of sneakers. PRIO *12 SALE PRICE $80 b) Can you buy 8 pairs of socks? Explain.

Answer 1

To represent the possible numbers of pairs of socks you can buy when you buy 2 pairs of sneakers, write the inequality x ≤ $90. Yes, you can buy 8 pairs of socks.

Step-by-step explanation:

To write an inequality that represents the possible numbers of pairs of socks you can buy when you buy 2 pairs of sneakers, we first need to determine the cost of 2 pairs of sneakers. Since the sale price of each pair of sneakers is $80, the cost of 2 pairs of sneakers would be 2 x $80 = $160. Let x represent the number of pairs of socks. The amount you can spend on socks should be less than or equal to the remaining amount on the gift card after buying the sneakers. The remaining amount would be $250 - $160 = $90. Therefore, the inequality that represents the possible numbers of pairs of socks you can buy is x ≤ $90.

To determine if you can buy 8 pairs of socks, we substitute x with 8 in the inequality. x ≤ $90 becomes 8 ≤ $90. Since 8 is less than or equal to 90, you can buy 8 pairs of socks with the remaining balance.

Answer 2

Sale price 12

number of socks =X

Sneakers sprice 80

Amount disposable 250

Then

Part a)

250 - 2•80 = 12X

250 - 160 = 12X

90 ≥ 12 X

Part b)Can buy 8 pairs?

Answer NO , because 90 < 12•8