Answered

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 15 \text{ 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. 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]$(124 \text{ g})$[/tex] & [tex]$5.87 \mu g$[/tex] & 0.0 \text{ mg} & 0.60 \text{ mg} \\
\hline
boiled green beans (1 cup) & [tex]$0.0 \mu g$[/tex] & 12.1 \text{ mg} & 0.57 \text{ mg} \\
\hline
Strawberries, sliced (1/2 cup) & [tex]$0.0 \mu g$[/tex] & 49.0 \text{ mg} & 0.42 \text{ 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



Answer :

GinnyAnswer
To determine which vitamins Robert met at least 75% of his recommended daily allowance (RDA) for, we need to examine the nutrient content of his meal and compare it against 75% of his RDA for each vitamin.

First, let's summarize the nutrient values of his meal components:
- 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]
- 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]
- 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]

Now let's calculate the total intake of each vitamin from the meal:
- Vitamin B12: [tex]\(5.87 \mu g\)[/tex]
- Vitamin C: [tex]\(12.1 mg + 49.0 mg = 61.1 mg\)[/tex]
- Vitamin E: [tex]\(0.60 mg + 0.57 mg + 0.42 mg = 1.59 mg\)[/tex]

Next, we need to compute 75% of the RDA for each vitamin:
- 75% of RDA for Vitamin B12: [tex]\(0.75 \times 2.4 \mu g = 1.8 \mu g\)[/tex]
- 75% of RDA for Vitamin C: [tex]\(0.75 \times 75 mg = 56.25 mg\)[/tex]
- 75% of RDA for Vitamin E: [tex]\(0.75 \times 15 mg = 11.25 mg\)[/tex]

Finally, we compare Robert's intake against these values:
- Vitamin B12: [tex]\(5.87 \mu g\)[/tex] which is greater than [tex]\(1.8 \mu g\)[/tex] (meets at least 75% of the RDA)
- Vitamin C: [tex]\(61.1 mg\)[/tex] which is greater than [tex]\(56.25 mg\)[/tex] (meets at least 75% of the RDA)
- Vitamin E: [tex]\(1.59 mg\)[/tex] which is less than [tex]\(11.25 mg\)[/tex] (does not meet at least 75% of the RDA)

Based on this analysis, Robert met at least 75% of his RDA for Vitamin B12 and Vitamin C, but not for Vitamin E.

Hence, the correct answer is:
B. Vitamin B12 and Vitamin C only

Other Questions