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A fruit fly population has a gene with two alleles, a1 and a2. tests show that 70% of the gametes produced in the population contain the a1 allele. if the population is in hardy-weinberg equilibrium, what proportion of the flies carry both a1 and a2?a fruit fly population has a gene with two alleles, a1 and a2. tests show that 70% of the gametes produced in the population contain the a1 allele. if the population is in hardy-weinberg equilibrium, what proportion of the flies carry both a1 and a2? 0.7 0.09 0.21 0.42 0.49

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JcAlmighty
The answer is 0.42.

According to the Hardy-Weinberg equilibrium:
p + q = 1
p² + 2pq + q² = 1
where p is a frequency of a1 allele, q is a frequency of a2 allele, p² is a frequency of a1a1 genotype, 2pq is a frequency of a1a2 genotype, q² is a frequency of a2a2 genotype.

If 70% of the gametes produced in the population contain the a1 allele, then:
p = 70% = 0.7.
If p = 0.7 and p + q = 1, then q = 1 - p = 1 - 0.7 = 0.3

So, the proportion of the flies that carry both a1 and a2 (a1a2 genotype) is:
2pq = 2 * 0.7 * 0.3 = 0.42

Hardy Weinberg principle in genetics asserts that in the lack of evolutionary influence the alleles or the recurrence of genotypes will be unchanged.

It is calculated by using the formula:

p²+2pq+q²=1

Where,

  • frequency of dominant purebred = p²

  • frequency of heterozygous= 2pq

  • frequency of recessive purebred = q²

The correct answer is:

option D. 0.42

The explanation for this is:

p+q=1

 

Where,

  • p: frequency of a1 allele

  • q: frequency of a2 allele

  • p²: frequency of a1a1 genotype

  • 2pq: frequency of a1a2 genotype

  • q²: frequency of a2a2 genotype.

70% of the given population contains a1 allele so,

p= 70% = 0.7

If p=0.7 and p+q=1

Then,

q = 1 - p  

= 1 - 0.7  

= 0.3

Hence the population of the flies that carries a1a2 genotype will be:

= 2pq

= 2 × 0.7 × 0.3  

= 0.42

Therefore, the population of flies containing both a1 and a2 alleles is 0.42.

To learn more about Hardy-Weinberg equilibrium follow the given link:

https://brainly.com/question/419732

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