7
QuizMultiple Choice

Modeling with Two-Variable Linear Inequalities

Question 7 • APSB 2025 Math Essentials-ALP

Dan bought x pounds of potatoes for $0.85 per pound and y pounds of grapes for $1.29 per pound. The total cost was less than $5. Which inequality represents his purchase?

Answer
A
1.29x + 0.85y < 5
B
1.29x + 0.85y > 5
C
0.85x + 1.29y > 5
D
0.85x + 1.29y < 5

Explanation

Potatoes cost $0.85 per pound, so x pounds cost 0.85x dollars. Grapes cost $1.29 per pound, so y pounds cost 1.29y dollars. Since the total cost was less than $5, the inequality is 0.85x + 1.29y < 5, which is choice D.

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