Determine Whether the Linear Transformation T Is One-To-One and Whether $15 \mathrm {~g}$

question 67

Multiple Choice

Determine whether the linear transformation T is one-to-one and whether it maps as specified.
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Betty would like to prepare a meal using some combination of these three foods. She would like the meal to contain $15 \mathrm {~g}$ of protein, $25 \mathrm {~g}$ of carbohydrate, and $3 \mathrm {~g}$ of fat. How many units of each food should she use so that the meal will contain the desired amounts of protein, carbohydrate, and fat? Round to 3 decimal places.

• A) \(0.326\) units of Food 1, \(0.247\) units of Food 2, \(0.059\) units of Food 3
• B) \(0.280\) units of Food 1, \(0.192\) units of Food 2, \(0.164\) units of Food 3
• C) \(0.360\) units of Food 1, \(0.204\) units of Food 2, \(0.055\) units of Food 3
• D) \(0.302\) units of Food 1, \(0.238\) units of Food 2, \(0.085\) units of Food 3

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Definitions:

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