Question

a recipe needs 2 cups flour per batch. which inequality shows flour for at most 6 batches? 2b > 6 b - 2 ≤ 6 2b ≤ 12 b + 2 ≤ 6

Explanation:

Step1: Define the variable

Let \( b \) be the number of batches. Each batch needs 2 cups of flour, so the total cups of flour is \( 2b \).

Step2: Interpret "at most 6 batches"

"At most 6 batches" means the number of batches \( b \leq 6 \). But we need the inequality for the flour. Since total flour is \( 2b \), and when \( b = 6 \), total flour is \( 2\times6 = 12 \). So "at most 6 batches" implies total flour \( 2b \leq 12 \) (because if \( b \leq 6 \), then \( 2b \leq 12 \)).

Answer:

\( 2b \leq 12 \) (the third option: \( 2b \leq 12 \))