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Robert is a 15-year-old boy. His recommended dietary intake for vitamin B12, vitamin C, and vitamin E is [tex]$2.4 \mu g / \text{day}$[/tex], [tex]$75 \text{ mg / day}$[/tex], and [tex][tex]$15 \text{ mg / day}$[/tex][/tex], respectively. He eats a salmon fillet with one cup of boiled green beans and half a cup of fresh sliced strawberries for lunch. If the nutrient values of his meal components are as shown below, for which vitamins did Robert meet at least [tex]$75 \%$[/tex] of his recommended daily allowance?

\begin{tabular}{|l|l|l|l|}
\hline
& Vitamin B12 & Vitamin C & Vitamin E \\
\hline
salmon fillet (124 g) & [tex]$5.87 \mu g$[/tex] & 0.0 mg & 0.60 mg \\
\hline
boiled green beans (1 cup) & [tex]$0.0 \mu g$[/tex] & 12.1 mg & 0.57 mg \\
\hline
strawberries, sliced (1/2 cup) & [tex]$0.0 \mu g$[/tex] & 49.0 mg & 0.42 mg \\
\hline
\end{tabular}

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
E. vitamin B12 only

Sagot :

GinnyAnswer
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
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