Answered

IDNLearn.com: Where your questions meet expert advice and community support. Find in-depth and trustworthy answers to all your questions from our experienced community members.

Hamsters can have a variety of colors, including golden, where the allele for golden color [tex]\((G)\)[/tex] is dominant over the allele for black color [tex]\((g)\)[/tex]. The table shows the genotypes and phenotypes for a small population of hamsters.

[tex]\[
\begin{tabular}{|l|l|l|}
\hline Genotype & Phenotype & \begin{tabular}{l}
Number of \\
hamsters
\end{tabular} \\
\hline
G G & Golden & 15 \\
\hline
G g & Golden & 30 \\
\hline
g g & Black & 5 \\
\hline
\end{tabular}
\][/tex]

What is the frequency of the golden phenotype?

A. [tex]\(\frac{20}{35}\)[/tex]

B. [tex]\(\frac{45}{50}\)[/tex]

C. [tex]\(\frac{15}{35}\)[/tex]

D. [tex]\(\frac{35}{50}\)[/tex]

Sagot :

GinnyAnsweridn
To determine the frequency of the golden phenotype among the hamster population, we should follow these steps:

1. Total Number of Hamsters:
We start by finding the total number of hamsters in the population. This is the sum of all hamsters regardless of their genotype.
- Number of [tex]$GG$[/tex] hamsters: 15
- Number of [tex]$Gg$[/tex] hamsters: 30
- Number of [tex]$gg$[/tex] hamsters: 5

Therefore, the total number of hamsters is:
[tex]\[ 15 + 30 + 5 = 50 \][/tex]

2. Number of Golden Hamsters:
Next, we calculate the total number of golden hamsters. Both [tex]$GG$[/tex] and [tex]$Gg$[/tex] genotypes result in a golden phenotype.
- Number of [tex]$GG$[/tex] hamsters: 15
- Number of [tex]$Gg$[/tex] hamsters: 30

Adding these together gives the total number of golden hamsters:
[tex]\[ 15 + 30 = 45 \][/tex]

3. Frequency of the Golden Phenotype:
The frequency of the golden phenotype is the number of golden hamsters divided by the total number of hamsters.
[tex]\[ \text{Frequency of golden phenotype} = \frac{\text{Number of golden hamsters}}{\text{Total number of hamsters}} = \frac{45}{50} \][/tex]

Thus, the frequency of the golden phenotype is [tex]\( \frac{45}{50} \)[/tex] or simplified, [tex]\( 0.9 \)[/tex]. Therefore, the correct answer is:

B. [tex]\( \frac{45}{50} \)[/tex]
We value your participation in this forum. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. Find reliable answers at IDNLearn.com. Thanks for stopping by, and come back for more trustworthy solutions.