Modeling with Two-Variable Linear Inequalities — Quiz
Question 5 • Mathematics I
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
4 x plus 8 y is less than or equal to 50
B
4 x plus 8 y is less than 50
C
4 x plus 8 y is greater than or equal to 50
D
4 x plus 8 y is greater than 50
Explanation
Each correct multiple-choice question contributes 4 points, so x correct answers contribute 4x points. Each correct word problem contributes 8 points, so y correct answers contribute 8y points. Together, Lorenzo earns 4x + 8y points, and “at least 50” means 50 or more, so the inequality is 4x + 8y ≥ 50: choice C.
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