Question

The drama club you are part of is hosting a pancake breakfast. You are in charge of buying the sausage, which costs $5 per pound, and bacon, which costs $4 per

pound. The meat budget you are given totals $500 dollars. The inequality 5x + 4y < 500 represents the possible combinations of pounds of sausage (x) and bacon
(y) you can buy

A. 20 pounds of sausage and 90 pound of bacon

B. 40 pound of sausage and 40 pound of bacon

C. 60 pound of sausage and 80 pound of bacon

D. 80 pound of sausage and 20 pound of bacon​

Answer 1

Option A (20 pounds of sausage and 90 pounds of bacon) and Option B (40 pounds of sausage and 40 pounds of bacon) are the possible combinations of pounds of sausage and bacon that you can buy.

Step-by-step explanation:

The inequality 5x + 4y < 500 represents the possible combinations of pounds of sausage (x) and bacon(y) you can buy.

Let's check each option to see if it satisfies the inequality:

1. Option A: 20 pounds of sausage and 90 pounds of bacon
   5x + 4y = 5(20) + 4(90) = 100 + 360 = 460
   This option satisfies the inequality, so it is a possible combination.
2. Option B: 40 pounds of sausage and 40 pounds of bacon
   5x + 4y = 5(40) + 4(40) = 200 + 160 = 360
   This option satisfies the inequality, so it is a possible combination.
3. Option C: 60 pounds of sausage and 80 pounds of bacon
   5x + 4y = 5(60) + 4(80) = 300 + 320 = 620
   This option does not satisfy the inequality, so it is not a possible combination.
4. Option D: 80 pounds of sausage and 20 pounds of bacon
   5x + 4y = 5(80) + 4(20) = 400 + 80 = 480
   This option satisfies the inequality, so it is a possible combination.

Therefore, options A and B are the possible combinations of pounds of sausage and bacon that you can buy.

Answer 2

C.

Step-by-step explanation:

Look at the pictures.

x - sausage

y - bacon

A. 20 pounds of sausage and 90 pound of bacon

x = 20 → y = 100 > 90

B. 40 pound of sausage and 40 pound of bacon

x = 40 → y = 75 > 40

C. 60 pound of sausage and 80 pound of bacon

x = 60 → y = 50 < 80

D. 80 pound of sausage and 20 pound of bacon​

x = 80 → y = 25 > 20