Question

The recommended daily intake of iron is 16.3 milligrams for teens aged 12 to 19 years old. One 3 oz. serving of liver, l, contains 15.2 milligrams of iron, and 1 cup of fava beans, f, contains 2 milligrams of iron. Which of the following inequalities represents the possible number of 3 oz. servings of liver, l, and cups of fava beans, f, a 17-year-old could consume in a day to meet or exceed the recommended daily iron intake from these two food items alone?

a) 15.2l + 2f ≥ 16.3
b) 15.2l + 2f > 16.3
c) 15.2/l + 2/f ≥ 16.3
d) 15.2/l + 2/f > 16.3

Answer 1

The recommended daily intake of iron is 16.3 milligrams for teens aged 12 to 19 years old. To represent the possible number of servings of liver and cups of fava beans that a 17-year-old could consume in a day to meet or exceed the recommended daily iron intake, the inequality is 15.2l + 2f ≥ 16.3.

Step-by-step explanation:

The recommended daily intake of iron for teens aged 12 to 19 years old is 16.3 milligrams. One 3 oz. serving of liver contains 15.2 milligrams of iron, and 1 cup of fava beans contains 2 milligrams of iron. To find the possible number of servings of liver and cups of fava beans a 17-year-old could consume in a day to meet or exceed the recommended daily iron intake, we can create an inequality.

Let l be the number of 3 oz. servings of liver and f be the number of cups of fava beans. The total amount of iron from liver is 15.2l milligrams, and the total amount of iron from fava beans is 2f milligrams. The inequality representing the possible number of servings of liver and cups of fava beans is:

15.2l + 2f ≥ 16.3 (Option a)