Answer :
To solve this genetic cross for Japanese four o'clock plants, we'll start by constructing a Punnett square for the given genotypes. Here's the detailed step-by-step solution:
### Parent Genotypes
- Parent 1 (heterozygous): Rr
- Parent 2 (homozygous dominant): RR
### Step 1: Write the alleles from each parent
- Parent 1's alleles (Rr): These will go on the left side of the Punnett square.
- Parent 2's alleles (RR): These will go on the top of the Punnett square.
### Step 2: Construct the Punnett Square
Here is the Punnett square:
[tex]\[ \begin{array}{c|c|c} & R & R \\ \hline R & RR & RR \\ \hline r & Rr & Rr \\ \end{array} \][/tex]
### Step 3: Determine the genotypes of the offspring
From the Punnett square, we observe the following genotypes:
- 2 squares of RR
- 2 squares of Rr
### Step 4: Count the genotypes
[tex]\[ \text{Genotype counts:} \begin{aligned} &RR : 2 \\ &Rr : 2 \\ &rr : 0 \\ \end{aligned} \][/tex]
### Step 5: Calculate the genotypic ratio
The total number of possible offspring is 4 (2 + 2 + 0). Therefore, the genotypic ratio is:
[tex]\[ \begin{aligned} &RR: \frac{2}{4} = \frac{1}{2} = 50\% \\ &Rr: \frac{2}{4} = \frac{1}{2} = 50\% \\ &rr: \frac{0}{4} = 0\% \\ \end{aligned} \][/tex]
### Step 6: Determine the phenotypes and their ratios
- RR: Plants with red flowers (Red).
- Rr: Plants with pink flowers (Pink).
- rr: Plants with white flowers (White).
Given the counts from the Punnett square:
- 2 RR: Red flowers
- 2 Rr: Pink flowers
- 0 rr: White flowers
[tex]\[ \text{Phenotype counts:} \begin{aligned} &\text{Red} : 2 \\ &\text{Pink} : 2 \\ &\text{White} : 0 \\ \end{aligned} \][/tex]
### Step 7: Calculate the phenotypic ratio
The total number of offspring is 4. Therefore, the phenotypic ratio is:
[tex]\[ \begin{aligned} &\text{Red}: \frac{2}{4} = \frac{1}{2} = 50\% \\ &\text{Pink}: \frac{2}{4} = \frac{1}{2} = 50\% \\ &\text{White}: \frac{0}{4} = 0\% \\ \end{aligned} \][/tex]
### Summary
#### Genotypic Ratio:
- RR: 50%
- Rr: 50%
- rr: 0%
#### Phenotypic Ratio:
- Red: 50%
- Pink: 50%
- White: 0%
This concludes our solution, showing that when crossing a heterozygous plant (Rr) with a homozygous dominant plant (RR), the offspring will be 50% red-flowered (RR) and 50% pink-flowered (Rr), with no white-flowered (rr) plants.
### Parent Genotypes
- Parent 1 (heterozygous): Rr
- Parent 2 (homozygous dominant): RR
### Step 1: Write the alleles from each parent
- Parent 1's alleles (Rr): These will go on the left side of the Punnett square.
- Parent 2's alleles (RR): These will go on the top of the Punnett square.
### Step 2: Construct the Punnett Square
Here is the Punnett square:
[tex]\[ \begin{array}{c|c|c} & R & R \\ \hline R & RR & RR \\ \hline r & Rr & Rr \\ \end{array} \][/tex]
### Step 3: Determine the genotypes of the offspring
From the Punnett square, we observe the following genotypes:
- 2 squares of RR
- 2 squares of Rr
### Step 4: Count the genotypes
[tex]\[ \text{Genotype counts:} \begin{aligned} &RR : 2 \\ &Rr : 2 \\ &rr : 0 \\ \end{aligned} \][/tex]
### Step 5: Calculate the genotypic ratio
The total number of possible offspring is 4 (2 + 2 + 0). Therefore, the genotypic ratio is:
[tex]\[ \begin{aligned} &RR: \frac{2}{4} = \frac{1}{2} = 50\% \\ &Rr: \frac{2}{4} = \frac{1}{2} = 50\% \\ &rr: \frac{0}{4} = 0\% \\ \end{aligned} \][/tex]
### Step 6: Determine the phenotypes and their ratios
- RR: Plants with red flowers (Red).
- Rr: Plants with pink flowers (Pink).
- rr: Plants with white flowers (White).
Given the counts from the Punnett square:
- 2 RR: Red flowers
- 2 Rr: Pink flowers
- 0 rr: White flowers
[tex]\[ \text{Phenotype counts:} \begin{aligned} &\text{Red} : 2 \\ &\text{Pink} : 2 \\ &\text{White} : 0 \\ \end{aligned} \][/tex]
### Step 7: Calculate the phenotypic ratio
The total number of offspring is 4. Therefore, the phenotypic ratio is:
[tex]\[ \begin{aligned} &\text{Red}: \frac{2}{4} = \frac{1}{2} = 50\% \\ &\text{Pink}: \frac{2}{4} = \frac{1}{2} = 50\% \\ &\text{White}: \frac{0}{4} = 0\% \\ \end{aligned} \][/tex]
### Summary
#### Genotypic Ratio:
- RR: 50%
- Rr: 50%
- rr: 0%
#### Phenotypic Ratio:
- Red: 50%
- Pink: 50%
- White: 0%
This concludes our solution, showing that when crossing a heterozygous plant (Rr) with a homozygous dominant plant (RR), the offspring will be 50% red-flowered (RR) and 50% pink-flowered (Rr), with no white-flowered (rr) plants.