Question

a patient is not allowed to have more than 552 milligrams of cholesterol per day from a diet of eggs and meat. each egg provides 184 milligrams of cholesterol. each ounce of meat provides 138 milligrams of cholesterol. completes parts (a) through (c) below.
a. write an inequality that describes the patients dietary restrictions for x eggs and y ounces of meat.
the inequality is symbol 552
(use integers or decimals for any numbers in the expression.)

Explanation:

Step1: Calculate cholesterol from eggs

Each egg provides 184 milligrams of cholesterol. For \(x\) eggs, the cholesterol from eggs is \(184x\) milligrams.

Step2: Calculate cholesterol from meat

Each ounce of meat provides 138 milligrams of cholesterol. For \(y\) ounces of meat, the cholesterol from meat is \(138y\) milligrams.

Step3: Set up the inequality

The total cholesterol from eggs and meat should not exceed 552 milligrams. So the inequality is \(184x + 138y\leqslant552\).

Answer:

\(184x + 138y\leqslant552\)