A 3-oz serving of roasted, skinless chicken breast contains 140 calories, 27 gra

Question

A 3-oz serving of roasted, skinless chicken breast contains 140 calories, 27 grams of protein, and 3 grams of fat. A broccoli spear contains 50 calories, 5 grams of protein, and 1 gram of fat. A cup of whole milk contains 150 calories, 8 grams of protein, and 8 grams of fat. The amount of calories, protein, and fat in one serving of chicken breast can be represented by the matrix Upper C equals left bracket Start 1 By 3 Matrix 1st Row 1st Column 140 2nd Column 27 3rd Column 3 EndMatrix right bracketC=

. Find the matrices B and M for the amounts of calories, protein, and fat in a broccoli spear and a cup of whole milk, respectively, and write the matrix

4 Upper C plus 3 Upper B plus 3 Upper M comma4C+3B+3M,

which represents the calories, protein, and fat in

44

servings of chicken,

33

servings of broccoli, and

33

cups of whole milk.

Explanation / Answer

C = [140   27   3]

B = [50   5    1]

M = [150    8   8]

4C+3B+3M = 4 [140   27   3] + 3 [50   5    1]+ 3 [150    8   8]

= [560   108    12] + [150   15   3] + [450   24    24]

= [560 + 150 + 450         108 + 15 + 24        12 + 3 + 24]

=[1160          147            39]

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