Question

a patient is not allowed to have more than 300 milligrams of cholesterol per day from a diet of eggs and meat. each egg provides 150 milligrams of cholesterol. each ounce of meat provides 100 milligrams of cholesterol. completes parts (a) through (c) below. c. select an ordered pair satisfying the inequality. what are its coordinates and what do they represent in this situation? choose the correct answer below. a. the point can be (3,2). the point (3,2) means that a patient had 3 eggs and 2 ounces of meat during a day. this is within a diet of eggs and meat. b. the point can be (1,4). the point (1,4) means that a patient had 1 egg and 4 ounces of meat during a day. this is within a diet of eggs and meat. c. the point can be (1,1). the point (1,1) means that a patient had 1 egg and 1 ounce of meat during a day. this is within a diet of eggs and meat. d. the point can be (4,3). the point (4,3) means that a patient had 4 eggs and 3 ounces of meat during a day. this is within a diet of eggs and meat.

Explanation:

Step1: Calculate cholesterol for option A

For point (3, 2), cholesterol from eggs is $150\times3 = 450$ mg and from meat is $100\times2=200$ mg. Total cholesterol is $450 + 200=650$ mg which exceeds 300 mg.

Step2: Calculate cholesterol for option B

For point (1, 4), cholesterol from eggs is $150\times1 = 150$ mg and from meat is $100\times4 = 400$ mg. Total cholesterol is $150+400 = 550$ mg which exceeds 300 mg.

Step3: Calculate cholesterol for option C

For point (1, 1), cholesterol from eggs is $150\times1=150$ mg and from meat is $100\times1 = 100$ mg. Total cholesterol is $150 + 100=250$ mg which is less than 300 mg.

Step4: Calculate cholesterol for option D

For point (4, 3), cholesterol from eggs is $150\times4=600$ mg and from meat is $100\times3 = 300$ mg. Total cholesterol is $600+300 = 900$ mg which exceeds 300 mg.

Answer:

C. The point can be (1,1). The point (1,1) means that a patient had 1 egg and 1 ounce of meat during a day. This is within a diet of eggs and meat.