To determine which vitamins Robert met at least 75% of his recommended daily allowance, let's follow these steps methodically.
1. Calculate the total intake of each vitamin from his lunch:
Vitamin B12:
- Salmon fillet: [tex]\(5.87 \mu g\)[/tex]
- Green beans: [tex]\(0.0 \mu g\)[/tex]
- Strawberries: [tex]\(0.0 \mu g\)[/tex]
Total Vitamin B12 intake:
[tex]\[ 5.87 \mu g \][/tex]
Vitamin C:
- Salmon fillet: [tex]\(0.0 mg\)[/tex]
- Green beans: [tex]\(12.1 mg\)[/tex]
- Strawberries: [tex]\(49.0 mg\)[/tex]
Total Vitamin C intake:
[tex]\[ 0 + 12.1 + 49.0 = 61.1 mg \][/tex]
Vitamin E:
- Salmon fillet: [tex]\(0.60 mg\)[/tex]
- Green beans: [tex]\(0.57 mg\)[/tex]
- Strawberries: [tex]\(0.42 mg\)[/tex]
Total Vitamin E intake:
[tex]\[ 0.60 + 0.57 + 0.42 = 1.59 mg \][/tex]
2. Calculate the percentage of the recommended daily intake met for each vitamin:
Vitamin B12:
Recommended intake: [tex]\(2.4 \mu g\)[/tex]
Percentage intake:
[tex]\[ \left( \frac{5.87 \mu g}{2.4 \mu g} \right) \times 100 \approx 244.58\% \][/tex]
Vitamin C:
Recommended intake: [tex]\(75 mg\)[/tex]
Percentage intake:
[tex]\[ \left( \frac{61.1 mg}{75 mg} \right) \times 100 \approx 81.47\% \][/tex]
Vitamin E:
Recommended intake: [tex]\(15 mg\)[/tex]
Percentage intake:
[tex]\[ \left( \frac{1.59 mg}{15 mg} \right) \times 100 \approx 10.6\% \][/tex]
3. Check if at least 75% of the recommended daily intake is met for each vitamin:
- Vitamin B12: 244.58% (≥ 75%)
- Vitamin C: 81.47% (≥ 75%)
- Vitamin E: 10.6% (<< 75%)
Robert met at least 75% of his recommended daily allowance for:
- Vitamin B12 and
- Vitamin C.
Therefore, the correct answer is:
B. vitamin B12 and vitamin C only
