choose the inequality that matches this situation

Sarah will spend at most $26 on candy, each item costs $3 and she has a coupon for a $5 discount

3x - 5 > 26

3x - 5 <26

3x - 5 > _26

3x - 5 _< 26

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
9 hours ago

To set up the inequality based on Sarah's situation, we begin by calculating the total amount she has available to spend on candy after applying the coupon.

  1. Sarah has a budget of $26 and a coupon for a $5 discount, so her effective spending is: \[ 26 - 5 = 21 \]

  2. Let \( x \) be the number of candy items she wants to buy, and since each item costs $3, her total spending before the discount can be represented as \( 3x \).

  3. The amount she can spend after applying the $5 discount should be less than or equal to her effective spending, which gives us the inequality: \[ 3x - 5 \leq 26 \]

Thus, the matching inequality for Sarah's situation is: \[ 3x - 5 \leq 26 \]

So the correct option is: 3x - 5 ≤ 26