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

Step-by-step explanation:

Let:

x=Points earned for every multiple-choice question answered correctly

y=Points earned for every word problem answered correctly

So, the problem tell us, that  Lorenzo needs "at least" 50 points to get a B, so we can express the situation mathematically as:

Where "≥" tell us that 50 points or more are enough to get a B

I attached you the inequality plot.

q1 a person or thing situated away or detached from the main body or system. a cluster is a a mash of many things.

q2 do

step-by-step explanation: