To determine the frequency of the [tex]\( Rr \)[/tex] genotype in the plant population, we need to follow these steps:
1. Identify the number of individuals for each genotype:
- Number of individuals with [tex]\( RR \)[/tex] genotype: 20
- Number of individuals with [tex]\( Rr \)[/tex] genotype: 50
- Number of individuals with [tex]\( rr \)[/tex] genotype: 30
2. Calculate the total number of individuals in the population:
[tex]\[
\text{Total individuals} = (\text{Number of } RR) + (\text{Number of } Rr) + (\text{Number of } rr)
\][/tex]
[tex]\[
\text{Total individuals} = 20 + 50 + 30
\][/tex]
[tex]\[
\text{Total individuals} = 100
\][/tex]
3. Find the number of individuals with the [tex]\( Rr \)[/tex] genotype:
- The number of [tex]\( Rr \)[/tex] individuals is given as 50.
4. Calculate the frequency of the [tex]\( Rr \)[/tex] genotype:
[tex]\[
\text{Frequency of } Rr = \left( \frac{\text{Number of } Rr}{\text{Total individuals}} \right) \times 100
\][/tex]
[tex]\[
\text{Frequency of } Rr = \left( \frac{50}{100} \right) \times 100
\][/tex]
[tex]\[
\text{Frequency of } Rr = 0.5 \times 100
\][/tex]
[tex]\[
\text{Frequency of } Rr = 50\%
\][/tex]
Therefore, the frequency of the [tex]\( Rr \)[/tex] genotype in this population is:
D. [tex]\( 50\% \)[/tex]
