To solve the problem, we need to determine if Robert met at least 75% of his recommended daily allowance (RDA) for vitamins B12, C, and E based on his lunch intake. We'll break down the calculations step-by-step:
Step 1: Calculate Total Intake for Each Vitamin
1. Vitamin B12:
- Salmon fillet: [tex]\(5.87 \mu g\)[/tex]
- Boiled green beans: [tex]\(0.0 \mu g\)[/tex]
- Sliced strawberries: [tex]\(0.0 \mu g\)[/tex]
- Total B12: [tex]\(5.87 \mu g\)[/tex]
2. Vitamin C:
- Salmon fillet: [tex]\(0.0 mg\)[/tex]
- Boiled green beans: [tex]\(12.1 mg\)[/tex]
- Sliced strawberries: [tex]\(49.0 mg\)[/tex]
- Total C: [tex]\(12.1 mg + 49.0 mg = 61.1 mg\)[/tex]
3. Vitamin E:
- Salmon fillet: [tex]\(0.60 mg\)[/tex]
- Boiled green beans: [tex]\(0.57 mg\)[/tex]
- Sliced strawberries: [tex]\(0.42 mg\)[/tex]
- Total E: [tex]\(0.60 mg + 0.57 mg + 0.42 mg = 1.59 mg\)[/tex]
Step 2: Calculate Intake as a Percentage of RDA
1. Vitamin B12:
- [tex]\( \frac{5.87 \mu g}{2.4 \mu g} \times 100 \% = 244.58 \% \)[/tex]
- This exceeds 75%, so Robert met at least 75% of his RDA for Vitamin B12.
2. Vitamin C:
- [tex]\( \frac{61.1 mg}{75 mg} \times 100 \% = 81.47 \% \)[/tex]
- This exceeds 75%, so Robert met at least 75% of his RDA for Vitamin C.
3. Vitamin E:
- [tex]\( \frac{1.59 mg}{15 mg} \times 100 \% = 10.6 \% \)[/tex]
- This does not meet 75%, so Robert did not meet at least 75% of his RDA for Vitamin E.
Step 3: Conclusion
Based on these calculations, for the given meal, Robert met at least 75% of his recommended daily allowances for Vitamin B12 and Vitamin C, but not for Vitamin E.
Therefore, the correct answer is:
B. vitamin B12 and vitamin C only
