IDNLearn.com offers a collaborative platform for sharing and gaining knowledge. Our platform provides accurate, detailed responses to help you navigate any topic with ease.
Sagot :
When crossing two plants that both have the genotype [tex]\( RrYy \)[/tex], we need to determine the probability of the offspring having round and yellow seeds. Let's break this down step by step:
### Step 1: Determine the possible gametes
Each [tex]\( RrYy \)[/tex] plant can produce four types of gametes due to the independent assortment of the genes [tex]\( R/r \)[/tex] and [tex]\( Y/y \)[/tex]:
- [tex]\( RY \)[/tex]
- [tex]\( Ry \)[/tex]
- [tex]\( rY \)[/tex]
- [tex]\( ry \)[/tex]
### Step 2: Construct a Punnett square
By creating a 4x4 Punnett square, we can list all possible combinations of these gametes.
[tex]\[ \begin{array}{c|c|c|c|c} & RY & Ry & rY & ry \\ \hline RY & \text{RRYY} & \text{RRYy} & \text{RrYY} & \text{RrYy} \\ \hline Ry & \text{RRYy} & \text{RRyy} & \text{RrYy} & \text{Rryy} \\ \hline rY & \text{RrYY} & \text{RrYy} & \text{rrYY} & \text{rrYy} \\ \hline ry & \text{RrYy} & \text{Rryy} & \text{rrYy} & \text{rryy} \\ \end{array} \][/tex]
### Step 3: Identify the genotypes that result in round and yellow seeds
The seed will be round if it has at least one [tex]\( R \)[/tex] allele (i.e., [tex]\( RR \)[/tex] or [tex]\( Rr \)[/tex]) and it will be yellow if it has at least one [tex]\( Y \)[/tex] allele (i.e., [tex]\( YY \)[/tex] or [tex]\( Yy \)[/tex]). Thus, the genotypes that produce round and yellow seeds are:
- [tex]\( RRYY \)[/tex]
- [tex]\( RRYy \)[/tex]
- [tex]\( RrYY \)[/tex]
- [tex]\( RrYy \)[/tex]
### Step 4: Count the desired genotypes in the Punnett square
Let's count how many times each of these desired genotypes appear in the Punnett square:
- [tex]\( RRYY \)[/tex]: 1
- [tex]\( RRYy \)[/tex]: 2
- [tex]\( RrYY \)[/tex]: 2
- [tex]\( RrYy \)[/tex]: 4
Adding these together, we get [tex]\( 1 + 2 + 2 + 4 = 9 \)[/tex].
### Step 5: Calculate the ratio
The total number of genotypes in the Punnett square is 16.
Thus, the ratio of offspring that will have round and yellow seeds is [tex]\( \frac{9}{16} \)[/tex].
### Conclusion
The ratio of offspring with round and yellow seeds is [tex]\( \frac{9}{16} \)[/tex], which corresponds to the option [tex]\( 9:16 \)[/tex].
### Step 1: Determine the possible gametes
Each [tex]\( RrYy \)[/tex] plant can produce four types of gametes due to the independent assortment of the genes [tex]\( R/r \)[/tex] and [tex]\( Y/y \)[/tex]:
- [tex]\( RY \)[/tex]
- [tex]\( Ry \)[/tex]
- [tex]\( rY \)[/tex]
- [tex]\( ry \)[/tex]
### Step 2: Construct a Punnett square
By creating a 4x4 Punnett square, we can list all possible combinations of these gametes.
[tex]\[ \begin{array}{c|c|c|c|c} & RY & Ry & rY & ry \\ \hline RY & \text{RRYY} & \text{RRYy} & \text{RrYY} & \text{RrYy} \\ \hline Ry & \text{RRYy} & \text{RRyy} & \text{RrYy} & \text{Rryy} \\ \hline rY & \text{RrYY} & \text{RrYy} & \text{rrYY} & \text{rrYy} \\ \hline ry & \text{RrYy} & \text{Rryy} & \text{rrYy} & \text{rryy} \\ \end{array} \][/tex]
### Step 3: Identify the genotypes that result in round and yellow seeds
The seed will be round if it has at least one [tex]\( R \)[/tex] allele (i.e., [tex]\( RR \)[/tex] or [tex]\( Rr \)[/tex]) and it will be yellow if it has at least one [tex]\( Y \)[/tex] allele (i.e., [tex]\( YY \)[/tex] or [tex]\( Yy \)[/tex]). Thus, the genotypes that produce round and yellow seeds are:
- [tex]\( RRYY \)[/tex]
- [tex]\( RRYy \)[/tex]
- [tex]\( RrYY \)[/tex]
- [tex]\( RrYy \)[/tex]
### Step 4: Count the desired genotypes in the Punnett square
Let's count how many times each of these desired genotypes appear in the Punnett square:
- [tex]\( RRYY \)[/tex]: 1
- [tex]\( RRYy \)[/tex]: 2
- [tex]\( RrYY \)[/tex]: 2
- [tex]\( RrYy \)[/tex]: 4
Adding these together, we get [tex]\( 1 + 2 + 2 + 4 = 9 \)[/tex].
### Step 5: Calculate the ratio
The total number of genotypes in the Punnett square is 16.
Thus, the ratio of offspring that will have round and yellow seeds is [tex]\( \frac{9}{16} \)[/tex].
### Conclusion
The ratio of offspring with round and yellow seeds is [tex]\( \frac{9}{16} \)[/tex], which corresponds to the option [tex]\( 9:16 \)[/tex].
Thank you for contributing to our discussion. Don't forget to check back for new answers. Keep asking, answering, and sharing useful information. Thank you for trusting IDNLearn.com. We’re dedicated to providing accurate answers, so visit us again for more solutions.