Question

using your punnett square last step, fill in the predicted fraction for each phenotype in the data table below.

\

$$\begin{tabular}{|c|c|c|c|c|} \\hline & \\begin{tabular}{c} black fur and \\\\ black eyes \\end{tabular}$$

& \

$$\begin{tabular}{c} black fur and \\\\ red eyes \\end{tabular}$$

& \

$$\begin{tabular}{c} white fur and \\\\ black eyes \\end{tabular}$$

& \

$$\begin{tabular}{c} white fur and \\\\ red eyes \\end{tabular}$$

\\\\
\hline
predicted fraction & \frac{9}{16} & \frac{3}{16} & \frac{3}{16} & \frac{1}{16} \\\\
\hline
predicted percentage & \box \\% & \box \\% & \box \\% & \box \\% \\\\
\hline
\end{tabular}

finally, convert the predicted fractions into predicted percentages.

Explanation:

Identify the correct phenotypic fractions

Using the Dihybrid Cross and Phenotypic Ratio knowledge points, we analyze the standard Mendelian dihybrid phenotypic ratio of \(9:3:3:1\).
The table shows:

• Black Fur and Black Eyes: \(\frac{9}{16}\) (marked with a red cross for the incorrect input of \(7\), showing the correct value below is \(\frac{9}{16}\))
• Black Fur and Red Eyes: \(\frac{3}{16}\) (marked with a red cross for the incorrect input of \(2\), showing the correct value below is \(\frac{3}{16}\))
• White Fur and Black Eyes: \(\frac{3}{16}\) (marked with a green checkmark)
• White Fur and Red Eyes: \(\frac{1}{16}\) (marked with a green checkmark)

Convert fractions to percentages

To find the predicted percentages, we convert each fraction by dividing the numerator by the denominator and multiplying by \(100\):

• Black Fur and Black Eyes:

$$ \frac{9}{16} \times 100\% = 56.25\% $$

• Black Fur and Red Eyes:

$$ \frac{3}{16} \times 100\% = 18.75\% $$

• White Fur and Black Eyes:

$$ \frac{3}{16} \times 100\% = 18.75\% $$

• White Fur and Red Eyes:

$$ \frac{1}{16} \times 100\% = 6.25\% $$

Answer:

• Black Fur and Black Eyes: \(56.25\%\)
• Black Fur and Red Eyes: \(18.75\%\)
• White Fur and Black Eyes: \(18.75\%\)
• White Fur and Red Eyes: \(6.25\%\)