Question

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\? 4x + 8y > 50; 4x + 8y ≤ 50; 4x + 8y < 50; 4x + 8y ≥ 50

Explanation:

Step1: Analyze points from each question type

Each multiple - choice question (x) is worth 4 points, so total points from multiple - choice questions is \(4x\). Each word problem (y) is worth 8 points, so total points from word problems is \(8y\).

Step2: Determine the inequality based on the requirement

Lorenzo needs at least 50 points. "At least" means that the total points \(4x + 8y\) should be greater than or equal to 50. So the inequality is \(4x+8y\geq50\).

Answer:

\(4x + 8y\geq50\) (the fourth option: \(4x + 8y\geq50\))