Question

a patient is not allowed to have more than 588 milligrams of cholesterol per day from a diet of eggs and meat. each egg provides 196 milligrams of cholesterol. each ounce of meat provides 147 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 □ 588.
(use integers or decimals for any numbers in the expression.)
b. graph the inequality. because x and y must be positive, limit the graph to quadrant i only. choose the correct graph below.
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Explanation:

Step1: Calculate cholesterol from eggs and meat

Cholesterol from \(x\) eggs is \(196x\) (since each egg has 196mg). Cholesterol from \(y\) ounces of meat is \(147y\) (since each ounce of meat has 147mg).

Step2: Set up the inequality

The total cholesterol \(196x + 147y\) must be less than or equal to 588 (as the patient can't have more than 588mg). So the inequality is \(196x+147y\leq588\).

Answer:

\(196x + 147y\leq588\)