Questions: A roasted chicken multigrain sandwich contains 429 protein, 7 g fat, and 34 g carbohydrates. How much energy does the sandwich provide? A. 747 calories B. 542 calories C. 502 calories D. 367 calories E. 332 calories

A roasted chicken multigrain sandwich contains 429 protein, 7 g fat, and 34 g carbohydrates. How much energy does the sandwich provide?
A. 747 calories
B. 542 calories
C. 502 calories
D. 367 calories
E. 332 calories
Transcript text: A roasted chicken multigrain sandwich contains 429 protein, 7 g fat, and 34 g carbohydrates. How much energy does the sandwich provide? A. 747 calories B. 542 calories C. 502 calories D. 367 calories E. 332 calories
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Solution

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To determine the energy provided by the sandwich, we need to calculate the total calories from the protein, fat, and carbohydrates. The caloric values for each macronutrient are as follows:

  • Protein: 4 calories per gram
  • Fat: 9 calories per gram
  • Carbohydrates: 4 calories per gram

Given:

  • Protein: 429 grams
  • Fat: 7 grams
  • Carbohydrates: 34 grams

Let's calculate the total calories:

  1. Protein Calories:
    \( 429 \, \text{g} \times 4 \, \text{calories/g} = 1716 \, \text{calories} \)

  2. Fat Calories:
    \( 7 \, \text{g} \times 9 \, \text{calories/g} = 63 \, \text{calories} \)

  3. Carbohydrate Calories:
    \( 34 \, \text{g} \times 4 \, \text{calories/g} = 136 \, \text{calories} \)

Now, add the calories from each macronutrient to find the total energy provided by the sandwich:

\[ 1716 \, \text{calories (protein)} + 63 \, \text{calories (fat)} + 136 \, \text{calories (carbohydrates)} = 1915 \, \text{calories} \]

However, the protein value seems unusually high, which suggests there might be a typographical error in the question. Assuming the protein value should be 42.9 grams instead of 429 grams, let's recalculate:

  1. Corrected Protein Calories:
    \( 42.9 \, \text{g} \times 4 \, \text{calories/g} = 171.6 \, \text{calories} \)

  2. Fat Calories:
    \( 7 \, \text{g} \times 9 \, \text{calories/g} = 63 \, \text{calories} \)

  3. Carbohydrate Calories:
    \( 34 \, \text{g} \times 4 \, \text{calories/g} = 136 \, \text{calories} \)

Total energy provided by the sandwich:

\[ 171.6 \, \text{calories (protein)} + 63 \, \text{calories (fat)} + 136 \, \text{calories (carbohydrates)} = 370.6 \, \text{calories} \]

Rounding to the nearest whole number, the total is approximately 371 calories. However, since this option is not available, the closest answer is:

The answer is D: 367 calories.

Explanation for each option:

  • A. 747 calories: Incorrect, as the calculated total is much lower.
  • B. 542 calories: Incorrect, as the calculated total is lower.
  • C. 502 calories: Incorrect, as the calculated total is lower.
  • D. 367 calories: Closest to the calculated total of 371 calories.
  • E. 332 calories: Incorrect, as the calculated total is higher.
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