Question

a patient is not allowed to have more than 624 milligrams of cholesterol per day from a diet of eggs and meat. each egg provides 208 milligrams of cholesterol. each ounce of meat provides 156 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 □ 624.
(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 \(208x\) (since each egg has 208 mg). Cholesterol from \(y\) ounces of meat is \(156y\) (since each ounce of meat has 156 mg).

Step2: Form the inequality

The total cholesterol \(208x + 156y\) should be less than or equal to 624. So the inequality is \(208x+156y\leq624\).

Answer:

\(208x + 156y\leq624\)