Final answer:
To find the calories and fiber in a 1/2 cup serving when a 1/3 cup serving contains 100 calories and 2 grams of fiber, multiply both by 1.5. The results are 150 calories and 3 grams of dietary fiber for the 1/2 cup serving.
Step-by-step explanation:
The student has provided the nutrition information for a cereal and needs to calculate the amount of calories and grams of dietary fiber in a different serving size. To determine the nutrition details for a 1/2 cup serving, we need to calculate the ratio of the new serving size to the original serving size provided on the cereal box (1/3 cup) and then apply this ratio to the nutrition facts (100 calories and 2 grams of dietary fiber).
First, we find the ratio of the new serving size to the original serving size:
- 1/2 cup divided by 1/3 cup = (1/2) / (1/3) = 1.5 or 3/2.
- Now we multiply the number of calories and the grams of dietary fiber by this ratio:
- Calories: 100 cal * 1.5 = 150 calories.
- Fiber: 2 g * 1.5 = 3 grams of dietary fiber.
Therefore, a 1/2 cup serving of the cereal provides 150 calories and 3 grams of dietary fiber.