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

Answer 1

D) 4x + 8y ≥ 50

Explanation:

We know that each multiple choice is worth 4 points, which is represented by x. Each word problem is worth 8 points, which is represented by y.

We also know that he needs at least (minimum) 50 points. This means he needs a bare minimum of 50 points, but can go over 50.

So, we can write an inequality like this:

4x + 8y ≥ 50

We use the "≥" sign because this means greater than or equal to. So, he needs more than 50 points, or 50 points exactly.

Hope this helps! :)