At Cindy's Sweet Treats, cookies are packaged in boxes of 8. Depending on the cookie flavor, the most a box can cost is $16. Let x represent how much each cookie costs. Which inequality describes the problem? Choices: (A)8x ≤ 16 (B)8x ≥ 16 Solve the inequality. Then, complete the sentence to describe the solution. Each cookie costs at most $____.

Question

At Cindy's Sweet Treats, cookies are packaged in boxes of 8. Depending on the cookie flavor, the most a box can cost is $16. Let x represent how much each cookie costs. Which inequality describes the problem?   Choices: (A)8x ≤ 16 (B)8x ≥ 16    Solve the inequality. Then, complete the sentence to describe the solution. Each cookie costs at most $____.

Bytelearn · Accepted Answer

Understand the problem:  Step 1: Understand the problem. Cindy's Sweet Treats packages cookies in boxes of 8, and the maximum cost for a box is $16. We need to find the inequality that represents the maximum cost per cookie, x. Set up the inequality:  Step 2: Set up the inequality. Since the maximum cost of a box is $16 and each box contains 8 cookies, the cost per cookie multiplied by 8 should not exceed $16. This is represented by the inequality 8x ≤ 16. Solve the inequality:  Step 3: Solve the inequality. Divide both sides of the inequality 8x ≤ 16 by 8 to isolate x. $$ \frac{8x}{8} \leq \frac{16}{8} $$ $$ x \leq 2 $$ This means each cookie costs at most $2.

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