Let's determine the frequency of the dominant allele step-by-step:
1. Identify the given data:
- Homozygous dominant frogs (BB): 50
- Heterozygous dominant frogs (Bb): 34
- Recessive frogs (bb): 16
2. Calculate the total population:
[tex]\[
\text{Total population} = 50 + 34 + 16 = 100
\][/tex]
3. Determine the total number of alleles:
Each frog has 2 alleles, therefore:
[tex]\[
\text{Total alleles} = 2 \times \text{Total population} = 2 \times 100 = 200
\][/tex]
4. Calculate the number of dominant alleles:
- Homozygous dominant frogs (BB) have 2 dominant alleles each: [tex]\( 2 \times 50 = 100 \)[/tex]
- Heterozygous dominant frogs (Bb) have 1 dominant allele each: [tex]\( 1 \times 34 = 34 \)[/tex]
[tex]\[
\text{Total dominant alleles} = 100 + 34 = 134
\][/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]\[
\text{Frequency of dominant allele} = \frac{\text{Total dominant alleles}}{\text{Total alleles}} = \frac{134}{200}
\][/tex]
Thus, the correct expression to calculate the frequency of the dominant allele is:
[tex]\[
D. \frac{134}{200}
\][/tex]
