A glass of skim milk supplies 0.1 mg of iron, 8.5 g of protein, and 1 g of carbo- hydrates. A quarter pound of lean red meat provides 3.4 mg of iron, 22 g of protein, and 20 g of carbohydrates. Two slices of whole-grain bread supply 2.2 mg of iron, 10 g of protein, and 12 g of carbohydrates. Eiley is on a special diet which requires her to get 26.4 mg of iron, 160.5 g of protein, and 149 g of carbohydrates. (a) Write a system of linear equations that determines how many glasses of skim,how many quarter-pound servings of meat, and home many two-slice servings of bread she will need in her special diet. (b) Write the augmented matrix for your system, and use technology to obtain its re- duced row echelon form. (c) Use the result inpart(b)to determine how many glasses of skim,how manyq uarter- pound servings of meat, and home many two-slice servings of bread she will need in her special diet

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Systems Of Equations And Inequalities
Section6.5: Systems Of Inequalities
Problem 9ECP
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A glass of skim milk supplies 0.1 mg of iron, 8.5 g of protein, and 1 g of carbo- hydrates. A quarter pound of lean red meat provides 3.4 mg of iron, 22 g of protein, and 20 g of carbohydrates. Two slices of whole-grain bread supply 2.2 mg of iron, 10 g of protein, and 12 g of carbohydrates. Eiley is on a special diet which requires her to get 26.4 mg of iron, 160.5 g of protein, and 149 g of carbohydrates.

(a) Write a system of linear equations that determines how many glasses of skim,how many quarter-pound servings of meat, and home many two-slice servings of bread she will need in her special diet.

(b) Write the augmented matrix for your system, and use technology to obtain its re- duced row echelon form.

(c) Use the result inpart(b)to determine how many glasses of skim,how manyq uarter- pound servings of meat, and home many two-slice servings of bread she will need in her special diet.

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