10
QuizMultiple Choice

Modeling with Two-Variable Linear Inequalities

Question 10 • APSB 2025 Math Essentials-ALP

At lunch, Kira eats either a burrito containing 490 milligrams of sodium or a peanut butter sandwich containing 700 milligrams of sodium. Her doctor told her to reduce her sodium to no more than 4,000 milligrams per week. Which inequality represents x, the number of microwave burritos, and y, the number of peanut butter sandwiches, she can eat each week?

Answer
A
490x + 700y < 4000
B
490x + 700y ≤ 4000
C
490x + 700y > 4000
D
490x + 700y ≥ 4000

Explanation

Each burrito contributes 490 milligrams of sodium, so x burritos contribute 490x. Each sandwich contributes 700 milligrams, so y sandwiches contribute 700y; together, the total is 490x + 700y. “No more than 4,000” means the total can equal 4,000 or be less, so the inequality is 490x + 700y ≤ 4,000, choice B.

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