To determine the number of grams of fat consumed by eating no fewer than 2 apples and no more than 4 apples, we need to calculate the fat content range based on the given information.
1. Understand the fat content in a single apple:
- Each apple contains 3 grams of fat.
2. Determine the range of apples that can be consumed:
- The minimum number of apples eaten is 2.
- The maximum number of apples eaten is 4.
3. Calculate the minimum grams of fat consumed:
- If 2 apples are eaten:
[tex]\[ \text{Fat from 2 apples} = 2 \text{ apples} \times 3 \text{ grams of fat/apple} = 6 \text{ grams of fat} \][/tex]
4. Calculate the maximum grams of fat consumed:
- If 4 apples are eaten:
[tex]\[ \text{Fat from 4 apples} = 4 \text{ apples} \times 3 \text{ grams of fat/apple} = 12 \text{ grams of fat} \][/tex]
The range of fat consumption therefore lies between 6 grams and 12 grams inclusive.
Given this information, the correct choice is:
[tex]\[ 6 \leq f \leq 12 \][/tex]
So the answer is:
C) [tex]\( \boxed{6 \leq f \leq 12} \)[/tex]
