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.
Write an inequality that describes the patient’s dietary restrictions for eggs and ounces of meat.
150*eggs + 100*oz meat </= 300
To write an inequality that describes the patient's dietary restrictions for eggs and ounces of meat, we need to determine how many eggs and ounces of meat the patient can have while staying below the limit of 300 milligrams of cholesterol per day.
Let's say the patient has "x" eggs and "y" ounces of meat.
The amount of cholesterol from eggs would be 150 milligrams per egg. Therefore, the cholesterol from eggs would be 150x milligrams.
The amount of cholesterol from meat would be 100 milligrams per ounce. Therefore, the cholesterol from meat would be 100y milligrams.
Adding these two together, the total cholesterol intake would be 150x + 100y milligrams.
Since the patient's total cholesterol intake should not exceed 300 milligrams per day, the inequality would be:
150x + 100y ≤ 300
This inequality restricts the patient's dietary intake of eggs and ounces of meat to stay below or equal to 300 milligrams of cholesterol per day.