To determine the correct way to calculate the frequency of the dominant allele in this population of frogs, follow these steps:
1. Count the total number of frogs:
- Homozygous dominant: 50
- Heterozygous dominant: 34
- Recessive: 16
- Total frogs = 50 + 34 + 16 = 100
2. Calculate the number of dominant alleles:
- Homozygous dominant frogs contribute two dominant alleles each. Therefore, for 50 homozygous dominant frogs: [tex]\(50 \times 2 = 100\)[/tex] dominant alleles.
- Heterozygous dominant frogs contribute one dominant allele each. Therefore, for 34 heterozygous dominant frogs: [tex]\(34 \times 1 = 34\)[/tex] dominant alleles.
- Total dominant alleles = 100 + 34 = 134
3. Calculate the total number of alleles in the population:
- Each frog has two alleles. Therefore, for 100 frogs: [tex]\(100 \times 2 = 200\)[/tex] alleles.
4. Calculate the frequency of the dominant allele:
- The frequency of the dominant allele is the ratio of the total number of dominant alleles to the total number of alleles.
- Therefore, the frequency of the dominant allele is [tex]\(\frac{134}{200}\)[/tex].
Given these calculations, the correct answer is:
D. [tex]\(\frac{134}{200}\)[/tex]
