A population of aphids living on a bush suffer different levels of predation based on a color associated with a single dominant gene that has two alleles. The dominant color is green (GG or Gg) and the recessive color is olive (gg). In a population of 100 individuals there are 80 green aphids and 20 olive aphids. You find that there are 50 heterozygotes. What are the allele frequencies of G and g, respectively

Respuesta :

Answer:

Frequency of dominant allele [tex]= 0.55[/tex]

Frequency of recessive allele [tex]= 0.45[/tex]

Explanation:

It is given that  olive color is a recessive trait.

As per Hardy Weinberg's equation-

p signifies the frequency of dominant allele in a given population and q signifies the frequency of recessive allele in a given population.

Also as per the first law of Hardy Weinberg's equilibrium , sum of allele frequencies is equal to one for a given population.

Thus

[tex]p+q = 1\\[/tex]

Frequency of recessive individuals is represented by [tex]q^2[/tex]

Here, [tex]q^2[/tex] [tex]= \frac{20}{100}[/tex]

[tex]q = \sqrt{0.2} \\q = 0.45[/tex]

Thus, frequency of dominant allele i.e G is equal to

[tex]1-0.45\\= 0.55[/tex]

Frequency of dominant allele [tex]= 0.55[/tex]

Frequency of recessive allele [tex]= 0.45[/tex]