Let's analyze the problem step by step to find the correct way to calculate the frequency of the dominant allele in this frog population.
1. Understand the genetic composition:
- Homozygous dominant frogs (50): Each has 2 dominant alleles.
- Heterozygous dominant frogs (34): Each has 1 dominant allele and 1 recessive allele.
- Recessive frogs (16): No dominant alleles, only 2 recessive alleles.
2. Calculate the total number of frogs:
[tex]\( \text{Total population} = 50 + 34 + 16 = 100 \)[/tex]
3. Calculate the total number of alleles in the population:
Since each frog has 2 alleles, the total number of alleles in the population is:
[tex]\( \text{Total alleles} = 100 \times 2 = 200 \)[/tex]
4. Calculate the number of dominant alleles:
- Homozygous dominant frogs contribute: [tex]\( 50 \times 2 = 100 \)[/tex] dominant alleles.
- Heterozygous dominant frogs contribute: [tex]\( 34 \times 1 = 34 \)[/tex] dominant alleles.
So, the total number of dominant alleles is:
[tex]\( 100 + 34 = 134 \)[/tex]
5. Determine 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]\[ \text{Frequency of dominant allele} = \frac{134}{200} = 0.67 \][/tex]
Based on this detailed step-by-step analysis, the correct way to calculate the frequency of the dominant allele is:
D. [tex]\(\frac{134}{200}\)[/tex]
