To determine which vitamins Robert met at least 75% of the recommended daily allowance for, we need to evaluate his intake based on the given nutrient values of his lunch components. Let's analyze each vitamin one by one.
1. Vitamin B12:
- Recommended daily allowance: 2.4 micrograms (µg)
- Robert's meal components:
- Salmon fillet: 5.87 µg
- Boiled green beans: 0.0 µg
- Strawberries: 0.0 µg
- Total intake of Vitamin B12:
[tex]\[ 5.87 \text{ µg} \][/tex]
- Percentage of recommended daily allowance:
[tex]\[ \frac{5.87 \, \text{µg}}{2.4 \, \text{µg}} \times 100 \approx 244.58\% \][/tex]
Since 244.58% is greater than 75%, Robert has met at least 75% of his recommended daily allowance for Vitamin B12.
2. Vitamin C:
- Recommended daily allowance: 75 milligrams (mg)
- Robert's meal components:
- Salmon fillet: 0.0 mg
- Boiled green beans: 12.1 mg
- Strawberries: 49.0 mg
- Total intake of Vitamin C:
[tex]\[ 0.0 \, \text{mg} + 12.1 \, \text{mg} + 49.0 \, \text{mg} = 61.1 \, \text{mg} \][/tex]
- Percentage of recommended daily allowance:
[tex]\[ \frac{61.1 \, \text{mg}}{75 \, \text{mg}} \times 100 \approx 81.47 \% \][/tex]
Since 81.47% is greater than 75%, Robert has met at least 75% of his recommended daily allowance for Vitamin C.
3. Vitamin E:
- Recommended daily allowance: 15 milligrams (mg)
- Robert’s meal components:
- Salmon fillet: 0.60 mg
- Boiled green beans: 0.57 mg
- Strawberries: 0.42 mg
- Total intake of Vitamin E:
[tex]\[ 0.60 \, \text{mg} + 0.57 \, \text{mg} + 0.42 \, \text{mg} = 1.59 \, \text{mg} \][/tex]
- Percentage of recommended daily allowance:
[tex]\[ \frac{1.59 \, \text{mg}}{15 \, \text{mg}} \times 100 \approx 10.60 \% \][/tex]
Since 10.60% is less than 75%, Robert has not met 75% of his recommended daily allowance for Vitamin E.
Conclusion:
Robert met at least 75% of his recommended daily allowance for Vitamin B12 and Vitamin C only.
Answer: B. Vitamin B12 and Vitamin C only.
