11
QuizMultiple Choice

Modeling with Systems of Linear Inequalities — Unit test

Question 11 • EAP-Algebra Functions and Data Analysis A CR

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?

Answer
A
12 ≤ x + y
B
12 ≥ x + y
C
12 ≤ 2x + 3y
D
12 ≥ 2x + 3y

Explanation

Each cheese square contributes 2 grams of protein, so x squares provide 2x grams. Each turkey slice contributes 3 grams, so y slices provide 3y grams. Eating 12 or more grams means the total, 2x + 3y, must be at least 12; this is 12 ≤ 2x + 3y, choice C.

AI-written and checked against the verified answer.

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