on a final exam, each multiple - choice question is worth 4 points and each word problem is worth 8 points…

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\?\n4x + 8y < 50\n4x + 8y ≤ 50\n4x + 8y > 50\n4x + 8y ≥ 50

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\?\n4x + 8y < 50\n4x + 8y ≤ 50\n4x + 8y > 50\n4x + 8y ≥ 50

Answer

Explanation:

Step1: Calculate total points

Each multiple - choice question is worth 4 points and there are $x$ of them, so points from multiple - choice questions are $4x$. Each word problem is worth 8 points and there are $y$ of them, so points from word problems are $8y$. The total points are $4x + 8y$.

Step2: Determine the inequality

Lorenzo needs at least 50 points, which means the total points $4x + 8y$ should be greater than or equal to 50. So the inequality is $4x+8y\geq50$.

Answer:

$4x + 8y\geq50$ (corresponding to the fourth option)