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In the inequality below, let \( x \) represent the number of muffins a bakery makes each day.

\[ 3x + 11 \leq 260 \]

Which of the following phrases most accurately describes the number of muffins the bakery makes each day?

A. Less than 83 muffins
B. More than 83 muffins
C. Exactly 83 muffins
D. At most 83 muffins

Answer :

Final answer:

By solving the inequality 3x + 11 ≤ 260, we find that the bakery makes at most 83 muffins each day, making the correct answer D. at most 83 muffins.

Explanation:

In the inequality 3x + 11 ≤ 260, the variable x represents the number of muffins a bakery makes each day. To describe the number of muffins the bakery makes each day, we must solve for x. We first subtract 11 from both sides to get 3x ≤ 249. Then, we divide both sides by 3 to isolate x, which yields x ≤ 83. Given the inequality sign ≤, it means that the bakery makes at most 83 muffins each day. Therefore, the correct answer to the student's question is D. at most 83 muffins.

Learn more about Solving Inequalities here:

https://brainly.com/question/26855203

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