To determine the correct expression for calculating the frequency of the dominant allele in a population, you follow these steps:
1. Calculate the total number of alleles: Since each frog has two alleles, multiply the total number of frogs by 2:
[tex]\[
\text{Total alleles} = (50 + 34 + 16) \times 2 = 200
\][/tex]
2. Determine the total number of dominant alleles:
- Each homozygous dominant frog contributes 2 dominant alleles.
- Each heterozygous dominant frog contributes 1 dominant allele.
- Recessive frogs do not contribute any dominant alleles.
Therefore:
[tex]\[
\text{Dominant alleles} = (50 \times 2) + (34 \times 1) = 100 + 34 = 134
\][/tex]
3. Calculate the frequency of the dominant allele:
The frequency is the ratio of dominant alleles to 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]
Thus, the correct expression to calculate the frequency of the dominant allele is:
D. [tex]\(\frac{134}{200}\)[/tex]
