Question

a snack tray at a party has cheese squares with 2 grams of protein apiece and turkey slices with 3 grams of protein apiece. which inequality represents the possible ways nina can eat 12 or more grams of protein, if x is the number of cheese squares that she eats and y is the number of turkey slices that she eats?
12 ≥ 2x + 3y
12 ≤ 2x + 3y
12 ≥ x + y
12 ≤ x + y

Explanation:

Step1: Calculate total protein

Each cheese square (x) has 2g protein, so total cheese protein is \(2x\). Each turkey slice (y) has 3g protein, so total turkey protein is \(3y\). Total protein is \(2x + 3y\).

Step2: Set up inequality

Nina eats 12 or more grams, so total protein (\(2x + 3y\)) is greater than or equal to 12. Thus, \(12 \leq 2x + 3y\).

Answer:

\(12 \leq 2x + 3y\) (the second option: \(12 \leq 2x + 3y\))