Answer the following questions
At the Hardy Weinberg equation. For each question
assume that just two alleles of a gene exist in the population. A1 codes for purple leaves, has A frequency of 0.7 and is dominant. A2, codes for white leaves, and has a frequency of 0.3.

14. a) If p is the frequency of A1 and q is the frequency of A2, what equation describes the
relationship between p and q? Explain your answer. (2 points)

b) Describe the frequencies of alleles A1, and A2 in the population using both decimals and
percents. (1 point)

a) The equation describes the  relationship between p and q is p + q = 1 for allelic frequencies

b) The frequencies of alleles A1 in decimals is 0.7 and in percents is 70%.

The frequencies of alleles A2 in decimals is 0.3 and in percents is 30%.

Explanation:

According to Hardy-Weinberg, the allelic frequencies in a locus are represented as p and q, referring to the allelic dominant or recessive forms. The genotypic frequencies after one generation are p² (Homozygous dominant), 2pq (Heterozygous), q² (Homozygous recessive). Populations in H-W equilibrium will get the same allelic frequencies generation after generation. The sum of these allelic frequencies equals 1, this is p + q = 1.

In the same way, the sum of genotypic frequencies equals 1, this is

p2 + 2pq + q2 = 1

Being

In the exposed example,

According to this equation: p + q = 1.

                                             0.7 + 0.3 = 1

A1A1= p²= 0.7² = 0.49

A2A2= q² = 0.3² = 0.09

A1A2 = 2pq = 2 x 0.7 x 0.3 = 0.42

According to this equation: p² + 2pq + q² = 1

                                             0.49 + 0.42 + 0.09 = 1

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