To determine the correct expression for calculating the frequency of the dominant allele in this population of frogs, let's follow these steps:
1. Calculate the Total Number of Frogs:
- Number of homozygous dominant frogs: 50
- Number of heterozygous dominant frogs: 34
- Number of homozygous recessive frogs: 16
[tex]\[
\text{Total number of frogs} = 50 + 34 + 16 = 100
\][/tex]
2. Determine the Total Number of Alleles:
Each frog has two alleles. Therefore, in a population of 100 frogs, the total number of alleles is:
[tex]\[
2 \times 100 = 200
\][/tex]
3. Calculate the Number of Dominant Alleles:
- Homozygous dominant frogs (AA) contribute two dominant alleles each, so their total contribution is:
[tex]\[
50 \times 2 = 100 \text{ dominant alleles}
\][/tex]
- Heterozygous frogs (Aa) contribute one dominant allele each, so their total contribution is:
[tex]\[
34 \times 1 = 34 \text{ dominant alleles}
\][/tex]
- Homozygous recessive frogs (aa) contribute zero dominant alleles:
[tex]\[
16 \times 0 = 0 \text{ dominant alleles}
\][/tex]
- Adding these contributions together gives the total number of dominant alleles:
[tex]\[
\text{Total dominant alleles} = 100 + 34 + 0 = 134
\][/tex]
4. Calculate the Frequency of the Dominant Allele:
The frequency of the dominant allele is given by the ratio of the total number of dominant alleles to the total number of alleles in the population:
[tex]\[
\text{Frequency of dominant allele} = \frac{\text{Total dominant alleles}}{\text{Total number of alleles}} = \frac{134}{200}
\][/tex]
Therefore, the correct expression to calculate the frequency of the dominant allele is:
[tex]\[
\boxed{D. \frac{134}{200}}
\][/tex]
