Select the correct answer.

Robert is a 15-year-old boy. His recommended dietary intake for vitamin B12, C, and E is [tex]$2.4 \mu g/$[/tex] day, [tex]$75 \text{mg}/$[/tex] day, and [tex]$15 \text{mg}/$[/tex] day, 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 [tex]$(124 g)$[/tex] & [tex]$5.87 \mu g$[/tex] & [tex]$0.0 \text{mg}$[/tex] & [tex]$0.60 \text{mg}$[/tex] \\
\hline
boiled green beans [tex]$(1 \text{cup})$[/tex] & [tex]$0.0 \mu g$[/tex] & [tex]$12.1 \text{mg}$[/tex] & [tex]$0.57 \text{mg}$[/tex] \\
\hline
strawberries, sliced [tex]$(1/2 \text{cup})$[/tex] & [tex]$0.0 \mu g$[/tex] & [tex]$49.0 \text{mg}$[/tex] & [tex]$0.42 \text{mg}$[/tex] \\
\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



Answer :

To determine which vitamins Robert met at least 75% of his recommended daily allowance (RDA) for, we need to calculate the total intake from his meal and compare it to his RDA.

First, let's calculate the total intake of each vitamin:
- Vitamin B12
- Salmon fillet: 5.87 μg
- Boiled green beans: 0.0 μg
- Strawberries, sliced: 0.0 μg
- Total intake: [tex]\(5.87 \, \mu g\)[/tex]

- Vitamin C
- Salmon fillet: 0.0 mg
- Boiled green beans: 12.1 mg
- Strawberries, sliced: 49.0 mg
- Total intake: [tex]\(12.1 + 49.0 = 61.1 \, mg\)[/tex]

- Vitamin E
- Salmon fillet: 0.60 mg
- Boiled green beans: 0.57 mg
- Strawberries, sliced: 0.42 mg
- Total intake: [tex]\(0.60 + 0.57 + 0.42 = 1.59 \, mg\)[/tex]

Next, we calculate the percentage of the RDA that these totals represent:
- Vitamin B12:
- Recommended: 2.4 μg
- Percentage: [tex]\(\frac{5.87}{2.4} \times 100 = 244.58\%\)[/tex]

- Vitamin C:
- Recommended: 75 mg
- Percentage: [tex]\(\frac{61.1}{75} \times 100 = 81.47\%\)[/tex]

- Vitamin E:
- Recommended: 15 mg
- Percentage: [tex]\(\frac{1.59}{15} \times 100 = 10.6\%\)[/tex]

Finally, we check if each vitamin meets at least 75% of the RDA:
- Vitamin B12: [tex]\(244.58\%\)[/tex] which is more than [tex]\(75\%\)[/tex]
- Vitamin C: [tex]\(81.47\%\)[/tex] which is more than [tex]\(75\%\)[/tex]
- Vitamin E: [tex]\(10.6\%\)[/tex] which is less than [tex]\(75\%\)[/tex]

Thus, Robert met at least 75% of his RDA for vitamin B12 and vitamin C only.

So, the correct answer is:
B. vitamin B12 and vitamin C only