The color of a soybean plant's leaves is influenced by the amount of chlorophyll it produces Chlorophyll is a natural green pigment in plant leaves. Scientists tested the frequency of leaf-color genotypes in a soybean population over time. The table below shows the three tested genotypes and the leaf color each genotype produced. The scientsts grew soybean plants and observed the leaf color of The seedlings produced at Day 7 and Day 21 The number of seedlings for each genotype is shown in the table below
Data from the Experiment
Number of Seedlings
Total
216
173
Use the diagram to answer the question.
56
20
Time (days)
7
(C ^ r * C ^ n)
111
106
Green-yellow (CC)
49
47
21
Green (C°C)
Using the Hardy-Weinberg equation p ^ 2 + 2pq + q ^ 2 what is the expected frequency of the three genotypes for the Day 7 population?
(1 point)
C ^ C * C ^ G = 0.25, C ^ C * C ^ Y = 0.75, C ^ Y * C ^ T = 0.25
CC0234, CGCY-0499, CYCY = 0.266
- C * AC - 0.227C ^ C * C ^ Y = 0.514, C ^ Y * C ^ Y = 0.257
C ^ (cC) * C ^ C =0.268.C^ C C^ Y =0.214.C^ Y C^ Y =0.271
To find the expected frequency of the three genotypes for the Day 7 population, we need to first determine the allele frequencies.
Let p = frequency of allele C
Let q = frequency of allele Y
From the table, we have:
C^C * C^G = 0.25
C^C * C^Y = 0.75
C^Y * C^Y = 0.25
Using the Hardy-Weinberg equation:
p^2 + 2pq + q^2 = 1
We can substitute the allele frequencies in:
p^2 = frequency of CC
2pq = frequency of CY
q^2 = frequency of YY
Given:
CC = 0.25
CY = 0.75
YY = 0.25
CC = p^2 = 0.25
=> p = √0.25 = 0.5
CY = 2pq = 0.75
=> 2(0.5)(q) = 0.75
=> q = 0.75 / 1 = 0.375
Now the expected frequencies:
CC = p^2 = 0.5^2 = 0.25
CY = 2pq = 2(0.5)(0.375) = 0.375
YY = q^2 = 0.375^2 = 0.14
Therefore, the expected frequency of the three genotypes for the Day 7 population is:
CC = 0.25
CG = 0.375
YY = 0.14