Question

a patient is not allowed to have more than 660 milligrams of cholesterol per day from a diet of eggs and meat. each egg provides 220 milligrams of cholesterol. each ounce of meat provides 165 milligrams of cholesterol. completes parts (a) through (c) below.
the inequality is 220x + 165y ≤ 660. (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.

Explanation:

Step1: Find x - intercept

Set \(y = 0\) in \(220x+165y\leq660\). Then \(220x=660\), so \(x = 3\).

Step2: Find y - intercept

Set \(x = 0\) in \(220x+165y\leq660\). Then \(165y=660\), so \(y = 4\).

Step3: Determine the inequality region

The inequality is \(220x + 165y\leq660\), which represents the region below (or on) the line \(220x+165y = 660\) in the first - quadrant (since \(x\geq0,y\geq0\)). The line \(220x + 165y=660\) has a negative slope and the region that satisfies the inequality includes the origin \((0,0)\) (because \(220\times0+165\times0=0\leq660\)).

Answer:

C.