To determine the correct calculation for the frequency of the dominant allele in the population, let's break down the details step-by-step:
1. Define the Population Counts:
- Homozygous dominant frogs (BB): 50
- Heterozygous dominant frogs (Bb): 34
- Recessive trait frogs (bb): 16
2. Calculate the Total Number of Frogs:
- Total frogs [tex]\( = 50 (BB) + 34 (Bb) + 16 (bb) = 100 \)[/tex]
3. Determine the Number of Alleles:
Since each frog carries two alleles:
- Total alleles in the population [tex]\( = 2 \times \text{total number of frogs} = 2 \times 100 = 200 \)[/tex]
4. Calculate the Number of Dominant Alleles:
- Each BB frog has 2 dominant alleles, so BB contributes [tex]\( 2 \times 50 = 100 \)[/tex] dominant alleles.
- Each Bb frog has 1 dominant allele and 1 recessive allele, so Bb contributes [tex]\( 1 \times 34 = 34 \)[/tex] dominant alleles.
- bb frogs do not contribute any dominant alleles.
So, the total number of dominant alleles [tex]\( = 100 (\text{from BB}) + 34 (\text{from Bb}) = 134 \)[/tex]
5. Calculate the Frequency of the Dominant Allele:
The frequency of the dominant allele is the number of dominant alleles divided by the total number of alleles:
[tex]\[ \text{Frequency of dominant allele} = \frac{\text{number of dominant alleles}}{\text{total number of alleles}} = \frac{134}{200} \][/tex]
Looking at the provided options, the correct expression to calculate the frequency of the dominant allele is:
D. [tex]\( \frac{134}{200} \)[/tex]
