Question

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

Answer 1

To model the situation, we can set up the inequality based on the information given.

Sarah wants to spend at most $26 on candy. The cost of each candy item is $3, and she has a $5 coupon discount.

First, let's denote \( x \) as the number of candy items Sarah buys. The total cost before the discount can be represented by \( 3x \). After applying the $5 discount, the total cost becomes \( 3x - 5 \).

Since she wants to spend at most $26, we can set up the inequality:

\[ 3x - 5 ≤ 26 \]

This inequality means that the total cost after the discount should be less than or equal to $26.

Thus, the correct choice is:

**3x - 5 ≤ 26**