For each offspring genotype in the Punnett square you just completed, determine the phenotype. In other words, what is the predicted fur color and eye color of the offspring? Using your Punnett square from the last step, fill in the predicted fraction for each phenotype in the data table below.
| | Black Fur and Black Eyes | Black Fur and Red Eyes | White Fur and Black Eyes | White Fur and Red Eyes |
|---|---|---|---|---|
| Predicted Fraction | 9/16 | 3/16 | 3/16 | 1/16 |
| Predicted Percentage | 100% | 0 | % | % |
Finally, convert the predicted fractions into predicted percentages.
Answer (2)
Convert the fraction for Black Fur and Black Eyes to percentage: 16 9 × 100 = 56.25% .
Convert the fraction for Black Fur and Red Eyes to percentage: 16 3 × 100 = 18.75% .
Convert the fraction for White Fur and Black Eyes to percentage: 16 3 × 100 = 18.75% .
Convert the fraction for White Fur and Red Eyes to percentage: 16 1 × 100 = 6.25% .
Explanation
Understand the problem and convert fractions to percentages We are given the predicted fractions for different phenotypes and need to convert them into percentages. To do this, we multiply each fraction by 100.
Calculate percentage for Black Fur and Black Eyes Let's calculate the percentage for Black Fur and Black Eyes: 16 9 × 100 = 56.25% So, the predicted percentage for Black Fur and Black Eyes is 56.25%.
Calculate percentage for Black Fur and Red Eyes Next, we calculate the percentage for Black Fur and Red Eyes: 16 3 × 100 = 18.75% Thus, the predicted percentage for Black Fur and Red Eyes is 18.75%.
Calculate percentage for White Fur and Black Eyes Now, we calculate the percentage for White Fur and Black Eyes: 16 3 × 100 = 18.75% Therefore, the predicted percentage for White Fur and Black Eyes is 18.75%.
Calculate percentage for White Fur and Red Eyes Finally, we calculate the percentage for White Fur and Red Eyes: 16 1 × 100 = 6.25% Hence, the predicted percentage for White Fur and Red Eyes is 6.25%.
State the final percentages In summary, the predicted percentages for each phenotype 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%
Examples
Understanding phenotype probabilities is crucial in breeding programs. For example, a breeder might want to predict the likelihood of certain traits appearing in offspring to achieve specific breeding goals, such as desired fur or eye color. By calculating these probabilities, breeders can make informed decisions about which animals to breed, maximizing their chances of producing offspring with the desired characteristics. This is also applicable in conservation efforts, where maintaining genetic diversity is important.
To convert predicted fractions into percentages, you multiply each fraction by 100. The final predicted percentages are: Black Fur and Black Eyes - 56.25%, Black Fur and Red Eyes - 18.75%, White Fur and Black Eyes - 18.75%, and White Fur and Red Eyes - 6.25%. Thus, we have all the offspring phenotypes clearly quantified in terms of their predicted appearance occurrences.
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