2
QuizMultiple Choice

Modeling with Two-Variable Linear Inequalities

Question 2 • FL-1200700-Mathematics for College Algebra MIS

On a final exam, each multiple-choice question is worth 4 points and each word problem is worth 8 points. Lorenzo needs at least 50 points on the final to earn a "B" in the class. Which inequality represents x, the number of correct multiple-choice questions, and y, the number of correct word problems, he needs to earn a "B"?

Answer
A
4x + 8y < 50
B
4x + 8y ≤ 50
C
4x + 8y > 50
D
4x + 8y ≥ 50

Explanation

Each correct multiple-choice question adds 4 points, so x correct answers contribute 4x points. Each correct word problem adds 8 points, contributing 8y points; together, Lorenzo earns 4x + 8y points. Since he needs at least 50 points, his total must be greater than or equal to 50, so the correct choice is 4x + 8y ≥ 50.

AI-written and checked against the verified answer.

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