To analyze the genetic problem described, let's break it down in detail.
Given information:
- We have [tex]$R$[/tex] (dominant allele for smooth seeds) and [tex]$r$[/tex] (recessive allele for wrinkled seeds).
- The F1 generation is hybrid, which means they are heterozygous (Rr).
- The table shows the possible combinations of the alleles in the F1 hybrid generation.
The meanings of the columns and rows in the table can be interpreted as follows:
- [tex]$R$[/tex] and [tex]$r$[/tex] represent the alleles from the parent plants.
- The combinations inside the grid (like [tex]$Rr$[/tex]) represent the genotypes of the offspring from these parental alleles.
Here's the detailed analysis of the table and the question about the generation of seeds:
1. Table Interpretation:
- The combinations in the table cross-refer two heterozygous organisms (Rr x Rr):
[tex]\[
\begin{tabular}{|c|c|c|}
\hline & $R$ & $R$ \\
\hline $r$ & $R r$ & $R r$ \\
\hline $r$ & $R r$ & $R r$ \\
\hline
\end{tabular}
\][/tex]
We observe that all combinations result in heterozygous [tex]$Rr$[/tex] offspring.
2. Genotype Outcomes:
- When you cross two heterozygous plants (Rr x Rr), using a Punnett Square, you will have:
[tex]\[
\begin{matrix}
& R & r \\
R & RR & Rr \\
r & Rr & rr \\
\end{matrix}
\][/tex]
The results from this Punnett Square are:
- 1 RR (Homozygous Dominant)
- 2 Rr (Heterozygous)
- 1 rr (Homozygous Recessive)
3. Phenotype Outcomes:
- In terms of phenotype (observable trait), any genotype with at least one dominant R (RR or Rr) will result in smooth seeds:
- 3 out of the 4 will have smooth seeds (RR and Rr)
- 1 out of the 4 will have wrinkled seeds (rr)
4. F1 Generation Result:
- If the entire F1 generation is hybrid (Rr), this means every individual in F1 has one dominant and one recessive allele which results in:
- Entire F1 generation having smooth seeds since the presence of the dominant R ensures a smooth seed phenotype.
Thus, analyzing the scenario provided and interpreting the outcomes, despite potential interpretational errors, we know with certainty about the nature of the F1 generation given they will all have smooth seeds, which can be concluded explicitly.
