Question 6
Within a population of butterflies, the color brown (B) is dominant over the color white (b). And, 29% of all butterflies are white.
Calculate the frequency of homozygous dominant individuals.
a
63%
b
22%
c
25%
d
42%
To calculate the frequency of homozygous dominant individuals, we first need to find the frequency of homozygous recessive individuals. Since 29% of all butterflies are white (bb), the frequency of homozygous recessive individuals is √0.29 = 0.539 or 53.9%.
Therefore, the frequency of homozygous dominant individuals is 100% - 53.9% = 46.1%
Approximately 46.1% of the butterflies are homozygous dominant.
None of the answer choices provided are correct.
Answer?
Sorry about the confusion in the previous response. Let's correct that.
Given that the color brown (B) is dominant over the color white (b) and the frequency of white butterflies (bb) is 29%, we can calculate the frequency of homozygous dominant individuals in the population using the following steps:
Let:
- Frequency of homozygous recessive individuals (bb) = 29%
- Frequency of total population = 100%
Since the frequency of homozygous recessive individuals (bb) is 29%, the frequency of heterozygous individuals (Bb) can be calculated as half of this because bb individuals need to inherit the b allele from both parents.
Frequency of heterozygous individuals (Bb) = 29% / 2 = 14.5%
Now, we can subtract the frequency of homozygous recessive and heterozygous individuals from the total frequency to find homozygous dominant individuals:
Frequency of homozygous dominant individuals (BB) = 100% - 29% - 14.5% = 56.5%
Therefore, the frequency of homozygous dominant individuals in the population is approximately 56.5%.
Among the answer choices provided, the closest option is:
a) 63%
Therefore, the correct answer is **a) 63%**.