Sure, let's go through this step-by-step:
1. Identify the given fractions for each phenotype:
- Black Fur and Black Eyes: [tex]\( \frac{9}{16} \)[/tex]
- Black Fur and Red Eyes: [tex]\( \frac{3}{16} \)[/tex]
- White Fur and Black Eyes: [tex]\( \frac{3}{16} \)[/tex]
- White Fur and Red Eyes: [tex]\( \frac{1}{16} \)[/tex]
2. Convert each fraction into the corresponding percentage:
- Black Fur and Black Eyes:
[tex]\[
\left( \frac{9}{16} \right) \times 100 = 56.25\%
\][/tex]
- Black Fur and Red Eyes:
[tex]\[
\left( \frac{3}{16} \right) \times 100 = 18.75\%
\][/tex]
- White Fur and Black Eyes:
[tex]\[
\left( \frac{3}{16} \right) \times 100 = 18.75\%
\][/tex]
- White Fur and Red Eyes:
[tex]\[
\left( \frac{1}{16} \right) \times 100 = 6.25\%
\][/tex]
3. Fill in the data table with the predicted percentages:
[tex]\[
\begin{array}{|c|c|c|c|c|}
\hline
& \text{\begin{array}{l}
Black Fur and \\
Black Eyes
\end{array}} & \text{\begin{array}{l}
Black Fur and \\
Red Eyes
\end{array}} & \text{\begin{array}{l}
White Fur and \\
Black Eyes
\end{array}} & \text{\begin{array}{l}
White Fur and \\
Red Eyes
\end{array}} \\
\hline
\text{Predicted Fraction} & \frac{9}{16} & \frac{3}{16} & \frac{3}{16} & \frac{1}{16} \\
\hline
\text{Predicted Percentage} & 56.25\% & 18.75\% & 18.75\% & 6.25\% \\
\hline
\end{array}
\][/tex]
So the predicted percentages for each phenotype in the table are:
- 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%
