QQuestionMathematics
QuestionMathematics
A 2 -oz serving of roasted, skinless chicken breast contains 120 Cal, 24 g of protein, 3 g of fat, 12 mg of calcium, and 66 mg of sodium. One half cup of potato salad contains 160 Cal, 3 g of protein, 14 g of fat, 24 mg of calcium, and 666 mg of sodium. One broccoli spear contains 50 Cal, 4 g of protein, 2 g of fat, 78 mg of calcium, and 17 mg of sodium.
Use this information to complete parts (a) and (b).
a. Write 1×5 matrices C, P, and B that represent the nutritional values of each food. Give the nutritional values in the following order: Cal, g of protein, g of fat, mg of calcium, and mg of sodium.
C=
P=
B=
b. Find C+ 3P+ 3B and tell what the entries represent.
C+ 3P+ 3B=
(Simplify your answers.)
What do the entries in C+ 3P+ 3B represent? Choose the correct answer below.
A. The entries represent the average nutritional value for a 2 -oz piece of chicken, three one-half-cup servings of potato salad, and three ears of broccoli.
B. The entries represent the necessary nutritional value for one meal.
C. The entries represent the total nutritional value for a 2 -oz piece of chicken, three one-half-cup servings of potato salad, and three spears of broccoli.
D. The entries are only an algebraic manipulation of the numbers, and do not have a realistic representation.
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Answer
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Step 1I'll solve this step by step using the specified LaTeX formatting guidelines:
Step 2: Create the matrices for each food item
B = \begin{bmatrix} 50 & 4 & 2 & 78 & 17 \end{bmatrix}
• For Chicken (C): • For Potato Salad (P): • For Broccoli (B):
Final Answer
The correct answer is C.
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