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"?

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

Answer 1

Answer is D.

Greater than or equal to represents AT LEAST.

Answer 2

Each multiple choice is worth 4 points, and X is the number of questions he get's right. For example, he gets 3 right: 4 x 3 = 12 points in total.
The same goes for the word problems. Y represent the the number of correct answers so, for example: he gets 4 right and each one is worth 8 points: 8x4

Since he needs to have a least 50 points, that means that he can have 50 or more than that. That can be written as: ≥

So, as i explained, the only possible option is D.
4x + 8y ≥ 50