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]$75 mg /$[/tex] day , and [tex]$15 mg /$[/tex] day, respectively. He eats a salmon fillet with one cup 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?
| | Vitamin B12 | Vitamin C | Vitamin E |
| --- | --- | --- | --- |
| salmon fillet [tex]$(124 g)$[/tex] | [tex]$5.87 \mu g$[/tex] | 0.0 mg | 0.60 mg |
| boiled green beans [tex]$(1$[/tex] cup [tex]$)$[/tex] | [tex]$0.0 \mu g$[/tex] | 12.1 mg | 0.57 mg |
| strawberries, sliced [tex]$(1 / 2$[/tex] cup [tex]$)$[/tex] | [tex]$0.0 \mu g$[/tex] | 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
E. vitamin B12 only
Answer (1)
Calculate total intake for each vitamin: Vitamin B12 is 5.87 μg , Vitamin C is 61.1 m g , and Vitamin E is 1.59 m g .
Determine 75% of the recommended daily allowance (RDA) for each vitamin: Vitamin B12 is 1.8 μg , Vitamin C is 56.25 m g , and Vitamin E is 11.25 m g .
Compare the total intake with 75% of the RDA for each vitamin.
Robert met at least 75% of his recommended daily allowance for Vitamin B12 and Vitamin C only, so the answer is v i t amin B 12 an d v i t amin C o n l y .
Explanation
Calculate Total Vitamin Intake First, let's calculate the total intake of each vitamin from Robert's lunch.
Total Vitamin B12 Intake The total intake of Vitamin B12 is the sum of the Vitamin B12 from the salmon fillet, boiled green beans, and sliced strawberries. So, we have: B 1 2 t o t a l = 5.87 μg + 0.0 μg + 0.0 μg = 5.87 μg
Total Vitamin C Intake The total intake of Vitamin C is the sum of the Vitamin C from the salmon fillet, boiled green beans, and sliced strawberries. So, we have: C t o t a l = 0.0 m g + 12.1 m g + 49.0 m g = 61.1 m g
Total Vitamin E Intake The total intake of Vitamin E is the sum of the Vitamin E from the salmon fillet, boiled green beans, and sliced strawberries. So, we have: E t o t a l = 0.60 m g + 0.57 m g + 0.42 m g = 1.59 m g
Calculate 75% of RDA Next, let's calculate 75% of the recommended daily allowance for each vitamin.
75% of Vitamin B12 RDA For Vitamin B12, 75% of the recommended daily allowance is: B 1 2 re q u i re d = 0.75 × 2.4 μg = 1.8 μg
75% of Vitamin C RDA For Vitamin C, 75% of the recommended daily allowance is: C re q u i re d = 0.75 × 75 m g = 56.25 m g
75% of Vitamin E RDA For Vitamin E, 75% of the recommended daily allowance is: E re q u i re d = 0.75 × 15 m g = 11.25 m g
Compare Intake with 75% of RDA Now, let's compare the total intake of each vitamin with 75% of the recommended daily allowance to see if Robert met at least 75% of his recommended daily allowance for each vitamin.
Vitamin B12 Comparison For Vitamin B12, we have: 5.87 μg ≥ 1.8 μg So, Robert met at least 75% of his recommended daily allowance for Vitamin B12.
Vitamin C Comparison For Vitamin C, we have: 61.1 m g ≥ 56.25 m g So, Robert met at least 75% of his recommended daily allowance for Vitamin C.
Vitamin E Comparison For Vitamin E, we have: 1.59 m g ≱ 11.25 m g So, Robert did NOT meet at least 75% of his recommended daily allowance for Vitamin E.
Final Answer Therefore, Robert met at least 75% of his recommended daily allowance for Vitamin B12 and Vitamin C only.
Examples
Understanding the importance of meeting recommended daily allowances for vitamins is crucial for maintaining good health. For example, imagine you're planning meals for a sports team. Ensuring each athlete gets at least 75% of their Vitamin B12 and C intake can significantly boost their energy levels and immune system, helping them perform better and recover faster. This careful planning ensures they receive the necessary nutrients to support their physical demands.
