A trait in a population of dogs has two alleles, which are represented by $p$ and $q$. The frequency of each allele is represented by a percentage. If $p+q=1$ and $p=0.07$, what is $q$?
A. 0.93
B. 0.07
C. 0.26
D. 0.74
Answer (2)
Substitute the value of p into the equation p + q = 1 .
Isolate q by subtracting p from both sides of the equation.
Calculate the value of q as 1 − 0.07 .
The value of q is 0.93 .
Explanation
Understanding the Problem We are given that the sum of the frequencies of two alleles, p and q , is equal to 1. We are also given that p = 0.07 . We need to find the value of q .
Substituting the Value of p We can use the equation p + q = 1 to solve for q . Substitute the given value of p into the equation: 0.07 + q = 1
Solving for q To isolate q , subtract 0.07 from both sides of the equation: q = 1 − 0.07
Calculating q Calculate the value of q : q = 0.93
Final Answer Therefore, the value of q is 0.93 .
Examples
In genetics, allele frequencies describe the prevalence of different versions of a gene within a population. If you're studying a population of butterflies where wing color is determined by two alleles, and you know one allele occurs 30% of the time, you can calculate that the other allele must occur 70% of the time to account for the entire population's genetic makeup. This calculation is crucial for understanding genetic diversity and predicting how populations might evolve over time, especially in response to environmental changes or selective pressures. By understanding allele frequencies, we can better manage and conserve species, ensuring their long-term survival.
The value of allele frequency q is calculated as 1 − 0.07 , resulting in 0.93 . Therefore, the chosen option is A. 0.93.
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