You have a gift card for your favorite clothing store for the amount of $60. You have found a shirt you want to buy that costs $15. If you don't want to spend more than the amount of the gift card, which of the following inequalities could be used to determine the amount you have left to spend?
is x - 15 ≤ 60 correct?
Yes, the inequality x - 15 ≤ 60 is correct. In this inequality, x represents the amount you have left to spend. The left side of the inequality represents the amount you have left to spend after purchasing the shirt for $15, and the right side represents the value of the gift card, which is $60.
No, the correct inequality to determine the amount you have left to spend would be:
60 - 15 ≥ 0
Yes, the inequality $x - 15 \leq 60$ is correct. Here's the explanation:
Let's break down the inequality:
- We are given a gift card for $60, which is represented by the variable $x$.
- You want to buy a shirt that costs $15.
- To determine the amount you have left to spend, you subtract the cost of the shirt from the total value of the gift card. This can be represented as $x - 15$.
- Since you don't want to spend more than the amount of the gift card, the remaining amount after purchasing the shirt should be less than or equal to the original value of the gift card, which is $60$. This is represented by the inequality $x - 15 \leq 60$.
So, the inequality $x - 15 \leq 60$ correctly represents the amount you have left to spend.