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Sagot :
Let's go through the steps to calculate the energy provided by the given food (1 slice of bread and 1 Tbsp. of peanut butter) and the percentage of total kcal from each macronutrient.
1. Calculate the energy contribution from each macronutrient:
- Carbohydrates (CHO):
[tex]\[ \text{Given: } 16 \text{ g CHO} \times 4 \text{ kcal/g} = 64 \text{ kcal} \][/tex]
- Protein (PRO):
[tex]\[ \text{Given: } 7 \text{ g PRO} \times 4 \text{ kcal/g} = 28 \text{ kcal} \][/tex]
- Fat (FAT):
[tex]\[ \text{Given: } 9 \text{ g FAT} \times 9 \text{ kcal/g} = 81 \text{ kcal} \][/tex]
2. Calculate the total energy content:
[tex]\[ \text{Total kcal} = \text{kcal from CHO} + \text{kcal from PRO} + \text{kcal from FAT} \][/tex]
[tex]\[ \text{Total kcal} = 64 \text{ kcal} + 28 \text{ kcal} + 81 \text{ kcal} = 173 \text{ kcal} \][/tex]
3. Determine the percentage of total kcals from each macronutrient:
- Percentage of total kcals from CHO:
[tex]\[ \text{Percent CHO} = \left(\frac{\text{kcal from CHO}}{\text{Total kcals}}\right) \times 100 \][/tex]
[tex]\[ \text{Percent CHO} = \left(\frac{64 \text{ kcal}}{173 \text{ kcal}}\right) \times 100 \approx 36.99\% \][/tex]
- Percentage of total kcals from PRO:
[tex]\[ \text{Percent PRO} = \left(\frac{\text{kcal from PRO}}{\text{Total kcals}}\right) \times 100 \][/tex]
[tex]\[ \text{Percent PRO} = \left(\frac{28 \text{ kcal}}{173 \text{ kcal}}\right) \times 100 \approx 16.18\% \][/tex]
- Percentage of total kcals from FAT:
[tex]\[ \text{Percent FAT} = \left(\frac{\text{kcal from FAT}}{\text{Total kcals}}\right) \times 100 \][/tex]
[tex]\[ \text{Percent FAT} = \left(\frac{81 \text{ kcal}}{173 \text{ kcal}}\right) \times 100 \approx 46.82\% \][/tex]
Let's summarize the findings:
- The energy contribution from Carbohydrates (CHO) is 64 kcal.
- The energy contribution from Protein (PRO) is 28 kcal.
- The energy contribution from Fat (FAT) is 81 kcal.
- The total energy content of the food mixture (1 slice bread + 1 Tbsp. peanut butter) is 173 kcal.
- The percentage of total kcal from Carbohydrates (CHO) is approximately 36.99%.
- The percentage of total kcal from Protein (PRO) is approximately 16.18%.
- The percentage of total kcal from Fat (FAT) is approximately 46.82%.
These calculations were carried out based on the given nutrient values and their respective energy coefficients.
1. Calculate the energy contribution from each macronutrient:
- Carbohydrates (CHO):
[tex]\[ \text{Given: } 16 \text{ g CHO} \times 4 \text{ kcal/g} = 64 \text{ kcal} \][/tex]
- Protein (PRO):
[tex]\[ \text{Given: } 7 \text{ g PRO} \times 4 \text{ kcal/g} = 28 \text{ kcal} \][/tex]
- Fat (FAT):
[tex]\[ \text{Given: } 9 \text{ g FAT} \times 9 \text{ kcal/g} = 81 \text{ kcal} \][/tex]
2. Calculate the total energy content:
[tex]\[ \text{Total kcal} = \text{kcal from CHO} + \text{kcal from PRO} + \text{kcal from FAT} \][/tex]
[tex]\[ \text{Total kcal} = 64 \text{ kcal} + 28 \text{ kcal} + 81 \text{ kcal} = 173 \text{ kcal} \][/tex]
3. Determine the percentage of total kcals from each macronutrient:
- Percentage of total kcals from CHO:
[tex]\[ \text{Percent CHO} = \left(\frac{\text{kcal from CHO}}{\text{Total kcals}}\right) \times 100 \][/tex]
[tex]\[ \text{Percent CHO} = \left(\frac{64 \text{ kcal}}{173 \text{ kcal}}\right) \times 100 \approx 36.99\% \][/tex]
- Percentage of total kcals from PRO:
[tex]\[ \text{Percent PRO} = \left(\frac{\text{kcal from PRO}}{\text{Total kcals}}\right) \times 100 \][/tex]
[tex]\[ \text{Percent PRO} = \left(\frac{28 \text{ kcal}}{173 \text{ kcal}}\right) \times 100 \approx 16.18\% \][/tex]
- Percentage of total kcals from FAT:
[tex]\[ \text{Percent FAT} = \left(\frac{\text{kcal from FAT}}{\text{Total kcals}}\right) \times 100 \][/tex]
[tex]\[ \text{Percent FAT} = \left(\frac{81 \text{ kcal}}{173 \text{ kcal}}\right) \times 100 \approx 46.82\% \][/tex]
Let's summarize the findings:
- The energy contribution from Carbohydrates (CHO) is 64 kcal.
- The energy contribution from Protein (PRO) is 28 kcal.
- The energy contribution from Fat (FAT) is 81 kcal.
- The total energy content of the food mixture (1 slice bread + 1 Tbsp. peanut butter) is 173 kcal.
- The percentage of total kcal from Carbohydrates (CHO) is approximately 36.99%.
- The percentage of total kcal from Protein (PRO) is approximately 16.18%.
- The percentage of total kcal from Fat (FAT) is approximately 46.82%.
These calculations were carried out based on the given nutrient values and their respective energy coefficients.
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