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:
Protein Calories:
\( 429 \, \text{g} \times 4 \, \text{calories/g} = 1716 \, \text{calories} \)
Fat Calories:
\( 7 \, \text{g} \times 9 \, \text{calories/g} = 63 \, \text{calories} \)
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:
Corrected Protein Calories:
\( 42.9 \, \text{g} \times 4 \, \text{calories/g} = 171.6 \, \text{calories} \)
Fat Calories:
\( 7 \, \text{g} \times 9 \, \text{calories/g} = 63 \, \text{calories} \)
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.