To calculate the number of calories per serving in the recipe, we first determine the total calories from the yogurt used in the recipe, then divide that by the number of servings.
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Calculate the total calories from the yogurt:
The recipe calls for \( \frac{1}{3} \) of a container of yogurt, and each container has 150 calories.
Total calories from yogurt = \( \frac{1}{3} \times 150 \) -
Divide by the number of servings:
The recipe makes 4 servings, so we divide the total calories from the yogurt by 4.
Calories per serving = \( \left( \frac{1}{3} \times 150 \right) / 4 \)
Now, looking at the options:
- A: \( \frac{1}{3} \times 150 / 1/4 \) (incorrect, because this improperly uses \( \frac{1}{4} \))
- B: \( \frac{1}{3} \times 150 \times 4 \) (incorrect, this multiplies by the number of servings instead of dividing)
- C: \( \frac{1}{3} \times 150 / 4 \) (correct, this calculates the calories from yogurt and divides by servings)
- D: \( \frac{1}{3} / 150 / 4 \) (incorrect, this does not calculate calories correctly)
Thus, the correct answer is C: \( \frac{1}{3} \times 150 / 4 \).