1. **Problem Statement:** Calculate Desired Body Weight (DBW), Total Energy Requirement (TER), and Calories from Carbohydrates, Protein, and Fats for Jack. 2. **Given:** - Height = 175 cm - Physical Activity Level (PAL) = Vigorous - Carbohydrates = 65%, Protein = 20%, Fat = 15% 3. **Formulas:** - DBW = (height - 100) - 0.10 \times (height - 100) - TER = DBW \times PAL (round to nearest 50) - Calories from each macronutrient = (percentage of TER) \div divisor (round to nearest 5) 4. **Step 1: Calculate DBW** $$\text{DBW} = (175 - 100) - 0.10 \times (175 - 100) = 75 - 0.10 \times 75 = 75 - 7.5 = 67.5$$ Rounded DBW = 68 kg 5. **Step 2: Assign PAL value for Vigorous activity** Assuming PAL for Vigorous = 40 (common standard for energy requirement in kcal/kg) 6. **Step 3: Calculate TER** $$\text{TER} = 68 \times 40 = 2720$$ Rounded to nearest 50: 2750 kcal 7. **Step 4: Calculate Calories from Macronutrients** - Carbohydrates: $$2750 \times 0.65 = 1787.5$$ - Protein: $$2750 \times 0.20 = 550$$ - Fat: $$2750 \times 0.15 = 412.5$$ 8. **Step 5: Calculate grams of each macronutrient** - Carbohydrates (divisor 4): $$\frac{1787.5}{4} = 446.875$$ Rounded to nearest 5: 445 g - Protein (divisor 4): $$\frac{550}{4} = 137.5$$ Rounded to nearest 5: 140 g - Fat (divisor 9): $$\frac{412.5}{9} \approx 45.83$$ Rounded to nearest 5: 45 g **Final answers:** - DBW = 68 kg - TER = 2750 kcal - Carbohydrates = 445 g - Protein = 140 g - Fat = 45 g