A dietician prepares a diet specifying the amounts a patient should eat of the four basic food groups: group 1, meats; group II, fruits and vegetables; group III, breads and starches; group IV, milk products. Amounts are given in "exchanges" that represent 1 oz (meat), 1/2 cup (fruits and vegetables), 1 slice (bread), 8 oz (milk), or other suitable measurements. Complete parts (a) through (c) below. (a) The number of "exchanges" for breakfast for each of the four food groups, respectively, are 2, 2, 1, and 1; for lunch, 3, 3, 2, and 1; and for dinner, 3, 2, 2, and 1. Write a 3x4 matrix using this information. (Type an integer or decimal for each matrix element.) (b) The amounts of fat, carbohydrates, and protein (in appropriate units) per exchange in each food group, respectively, are as follows. Use this information to write a 4x3 matrix. Fat: 5, 0, 1, 7 Carbohydrates: 0, 18, 13, 15 Protein: 9, 1, 1, 7 (Type an integer or decimal for each matrix element.) (c) There are 7 calories per exchange of fat, 3 calories per exchange of carbohydrates, and 10 calories per exchange of protein. Summarize this data in a 3 x 1 matrix. (Type an integer or decimal for each matrix element.)
A dietician prepares a diet specifying the amounts a patient should eat of the four basic food groups: group 1, meats; group II, fruits and vegetables; group III, breads and starches; group IV, milk products. Amounts are given in "exchanges" that represent 1 oz (meat), 1/2 cup (fruits and vegetables), 1 slice (bread), 8 oz (milk), or other suitable measurements. Complete parts (a) through (c) below. (a) The number of "exchanges" for breakfast for each of the four food groups, respectively, are 2, 2, 1, and 1; for lunch, 3, 3, 2, and 1; and for dinner, 3, 2, 2, and 1. Write a 3x4 matrix using this information. (Type an integer or decimal for each matrix element.) (b) The amounts of fat, carbohydrates, and protein (in appropriate units) per exchange in each food group, respectively, are as follows. Use this information to write a 4x3 matrix. Fat: 5, 0, 1, 7 Carbohydrates: 0, 18, 13, 15 Protein: 9, 1, 1, 7 (Type an integer or decimal for each matrix element.) (c) There are 7 calories per exchange of fat, 3 calories per exchange of carbohydrates, and 10 calories per exchange of protein. Summarize this data in a 3 x 1 matrix. (Type an integer or decimal for each matrix element.)
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Transcribed Image Text:A dietician prepares a diet specifying the amounts a patient should eat of the four basic food groups: group I, meats;
group II, fruits and vegetables; group III, breads and starches; group IV, milk products. Amounts are given in
"exchanges" that represent 1 oz (meat), 1/2 cup (fruits and vegetables), 1 slice (bread), 8 oz (milk), or other suitable
measurements. Complete parts (a) through (c) below.
(a) The number of "exchanges" for breakfast for each of the four food groups, respectively, are 2, 2, 1, and 1; for lunch,
3, 3, 2, and 1; and for dinner, 3, 2, 2, and 1. Write a 3x4 matrix using this information.
(Type an integer or decimal for each matrix element.)
(b) The amounts of fat, carbohydrates, and protein (in appropriate units) per exchange in each food group,
respectively, are as follows. Use this information to write a 4×3 matrix.
Fat: 5, 0, 1, 7
Carbohydrates: 0, 18, 13, 15
Protein: 9, 1, 1, 7
(Type an integer or decimal for each matrix element.)
(c) There are 7 calories per exchange of fat, 3 calories per exchange of carbohydrates, and 10 calories per exchange
of protein. Summarize this data in a 3x1 matrix.
(Type an integer or decimal for each matrix element.)
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