Step 1: Understanding the Concept:
The total energy value of a diet is calculated by summing the energy contributed by each macronutrient (carbohydrates, proteins, and fats) based on their physiological fuel values.
Key Formula or Approach:
The physiological fuel values (Atwater factors) are:
\[ \text{Energy from Carbohydrates} = \text{Weight of Carbohydrates (g)} \times 4\text{ kcal/g} \]
\[ \text{Energy from Proteins} = \text{Weight of Proteins (g)} \times 4\text{ kcal/g} \]
\[ \text{Energy from Fats} = \text{Weight of Fats (g)} \times 9\text{ kcal/g} \]
\[ \text{Total Energy} = \text{Energy from Carbohydrates} + \text{Energy from Proteins} + \text{Energy from Fats} \]
Step 2: Detailed Explanation:
Let us substitute the given values into the formulas:
1. Energy from Carbohydrates:
\[ 170\text{ g} \times 4\text{ kcal/g} = 680\text{ kcal} \]
2. Energy from Proteins:
\[ 40\text{ g} \times 4\text{ kcal/g} = 160\text{ kcal} \]
3. Energy from Fats:
\[ 30\text{ g} \times 9\text{ kcal/g} = 270\text{ kcal} \]
4. Total Energy Value:
\[ \text{Total Energy} = 680\text{ kcal} + 160\text{ kcal} + 270\text{ kcal} = 1110\text{ kcal} \]
Thus, the diet provides \(1110\text{ kcal}\).
Step 3: Final Answer
The correct option is (D).