Answered

Select the correct answer.

Robert is a 15-year-old boy. His recommended dietary intake for vitamin B12, C, and E is:

- Vitamin B12: 2.4 μg/day
- Vitamin C: 75 mg/day
- Vitamin E: 15 mg/day

For lunch, he eats:
- Salmon fillet (124g): 5.87 μg B12, 0.0 mg C, 0.60 mg E
- Boiled green beans (1 cup): 0.0 μg B12, 12.1 mg C, 0.57 mg E
- Sliced strawberries (1/2 cup): 0.0 μg B12, 49.0 mg C, 0.42 mg E

Which of the following vitamins does Robert consume at least 75% of his recommended daily allowance?

A. Vitamin B12, Vitamin C, and Vitamin E
B. Vitamin B12 and Vitamin C only
C. Vitamin B12 and Vitamin E only



Answer :

GinnyAnswer
To determine whether Robert's meal provides at least 75% of his recommended dietary allowance (RDA) for vitamins B12, C, and E, let's look at the detailed amounts and percentages:

### Step 1: Collect the Recommended Daily Allowance (RDA) for Robert
- Vitamin B12: [tex]\(2.4 \mu g/day\)[/tex]
- Vitamin C: [tex]\(75 mg/day\)[/tex]
- Vitamin E: [tex]\(15 mg/day\)[/tex] (Assumed)

### Step 2: Nutrient Values in the Meal Components
1. Salmon fillet (124 g):
- Vitamin B12: [tex]\(5.87 \mu g\)[/tex]
- Vitamin C: [tex]\(0.0 mg\)[/tex]
- Vitamin E: [tex]\(0.60 mg\)[/tex]

2. Boiled green beans (1 cup):
- Vitamin B12: [tex]\(0.0 \mu g\)[/tex]
- Vitamin C: [tex]\(12.1 mg\)[/tex]
- Vitamin E: [tex]\(0.57 mg\)[/tex]

3. Strawberries, sliced (1/2 cup):
- Vitamin B12: [tex]\(0.0 \mu g\)[/tex]
- Vitamin C: [tex]\(49.0 mg\)[/tex]
- Vitamin E: [tex]\(0.42 mg\)[/tex]

### Step 3: Calculate Total Intake from the Meal
- Total Vitamin B12: [tex]\(5.87 \mu g + 0.0 \mu g + 0.0 \mu g = 5.87 \mu g\)[/tex]
- Total Vitamin C: [tex]\(0.0 mg + 12.1 mg + 49.0 mg = 61.1 mg\)[/tex]
- Total Vitamin E: [tex]\(0.60 mg + 0.57 mg + 0.42 mg = 1.59 mg\)[/tex]

### Step 4: Calculate Percentages of Daily Intake
- Percentage of Vitamin B12 Intake:
[tex]\[ \frac{5.87 \mu g}{2.4 \mu g} \times 100 \approx 244.6 \% \][/tex]
- Percentage of Vitamin C Intake:
[tex]\[ \frac{61.1 mg}{75 mg} \times 100 \approx 81.5 \% \][/tex]
- Percentage of Vitamin E Intake:
[tex]\[ \frac{1.59 mg}{15 mg} \times 100 \approx 10.6 \% \][/tex]

### Step 5: Determine Which Vitamins Meet at Least 75% of the RDA
- Vitamin B12: 244.6% [tex]\( \geq 75\% \)[/tex] (Meets the criteria)
- Vitamin C: 81.5% [tex]\( \geq 75\% \)[/tex] (Meets the criteria)
- Vitamin E: 10.6% [tex]\( < 75\% \)[/tex] (Does not meet the criteria)

### Conclusion
The vitamins that meet at least 75% of Robert's RDA from his meal are Vitamin B12 and Vitamin C. Therefore, the correct answer is:

B. vitamin B12 and vitamin C only