Let's calculate the frequency of the dominant allele step by step.
1. Identify the different types of frogs and their contributions to the total alleles:
- Homozygous dominant frogs (AA): 50 individuals
- Heterozygous dominant frogs (Aa): 34 individuals
- Recessive homozygous frogs (aa): 16 individuals
2. Calculate the total number of frogs:
[tex]\[
\text{Total number of frogs} = 50 + 34 + 16 = 100
\][/tex]
3. Calculate the total number of alleles in the population:
Each frog has 2 alleles, so:
[tex]\[
\text{Total alleles} = 100 \times 2 = 200
\][/tex]
4. Calculate the number of dominant alleles contributed by each genotype:
- Homozygous dominant (AA) frogs have 2 dominant alleles each:
[tex]\[
\text{Dominant alleles from homozygous dominant} = 50 \times 2 = 100
\][/tex]
- Heterozygous dominant (Aa) frogs have 1 dominant allele each:
[tex]\[
\text{Dominant alleles from heterozygous dominant} = 34 \times 1 = 34
\][/tex]
5. Calculate the total number of dominant alleles:
[tex]\[
\text{Total dominant alleles} = 100 + 34 = 134
\][/tex]
6. Calculate the frequency of the dominant allele:
[tex]\[
\text{Frequency of the dominant allele} = \frac{\text{Total dominant alleles}}{\text{Total alleles}} = \frac{134}{200}
\][/tex]
The option that corresponds to this calculation is:
[tex]\[
\boxed{D}
\][/tex]
Therefore, the correct expression for the frequency of the dominant allele is:
[tex]\[
\frac{134}{200}
\][/tex]
