cobypowell82
Answered

Select the correct answer.

Robert is a 15-year-old boy. His recommended dietary intake for vitamins B12, C, and E is 2.4 µg/day, 75 mg/day, and 15 mg/day, respectively. He eats a salmon fillet with one cup of boiled green beans and half a cup of fresh sliced strawberries for lunch.

Based on the nutrient values of his meal components shown below, for which vitamins did Robert meet at least 75% of his recommended daily allowance?

| | Vitamin B12 | Vitamin C | Vitamin E |
|----------------|-------------|-----------|-----------|
| Salmon fillet | 5.87 µg | 0.0 mg | 0.60 mg |
| Green beans | 0.0 µg | 12.1 mg | 0.57 mg |
| Strawberries | 0.0 µg | 49.0 mg | 0.42 mg |

A. Vitamin B12, Vitamin C, and Vitamin E

B. Vitamin B12 and Vitamin C only

C. Vitamin B12 and Vitamin E only

D. Vitamin C and Vitamin E only



Answer :

GinnyAnswer
To determine which vitamins Robert met at least 75% of his recommended daily intake (RDI), we need to calculate his total intake of each vitamin from his meal and compare it to his RDI.

First, let's sum up the amounts of each vitamin from all meal components:

### Vitamin B12
- Salmon fillet: 5.87 µg
- Boiled green beans: 0.0 µg
- Strawberries: 0.0 µg

Total Vitamin B12 intake:
[tex]\[ 5.87 \mu g + 0 \mu g + 0 \mu g = 5.87 \mu g \][/tex]

### Vitamin C
- Salmon fillet: 0.0 mg
- Boiled green beans: 12.1 mg
- Strawberries: 49.0 mg

Total Vitamin C intake:
[tex]\[ 0.0 mg + 12.1 mg + 49.0 mg = 61.1 mg \][/tex]

### Vitamin E
- Salmon fillet: 0.60 mg
- Boiled green beans: 0.57 mg
- Strawberries: 0.42 mg

Total Vitamin E intake:
[tex]\[ 0.60 mg + 0.57 mg + 0.42 mg = 1.59 mg \][/tex]

Next, we compare these totals with 75% of the RDI for each vitamin:

### 75% of RDI
- Vitamin B12:
[tex]\[ 0.75 \times 2.4 \mu g = 1.8 \mu g \][/tex]

- Vitamin C:
[tex]\[ 0.75 \times 75 mg = 56.25 mg \][/tex]

- Vitamin E:
[tex]\[ 0.75 \times 15 mg = 11.25 mg \][/tex]

Now we check if Robert's intake meets at least 75% of the RDI:

- For Vitamin B12:
[tex]\[ 5.87 \mu g \geq 1.8 \mu g \quad \text{(True)} \][/tex]

- For Vitamin C:
[tex]\[ 61.1 mg \geq 56.25 mg \quad \text{(True)} \][/tex]

- For Vitamin E:
[tex]\[ 1.59 mg \geq 11.25 mg \quad \text{(False)} \][/tex]

### Conclusion
Robert meets at least 75% of his recommended intake for Vitamin B12 and Vitamin C only. Therefore, the correct answer is:

[tex]\[ \text{B. Vitamin B12 and Vitamin C only} \][/tex]