Answer:
b. 245
Explanation:
The Formula proposed by Hardy- Weinberg Equilibrium is:
p + q = 1
p² + 2pq + q² = 1
p is the frequency of the dominant allele.
q is the frequency of the recessive allele.
p² is the frequency of individuals with the homozygous dominant genotype.
2pq is the frequency of individuals with the heterozygous genotype.
q² is the frequency of individuals with the homozygous recessive genotype.
From the question, we were told that;
blue wing color is determined by a dominant allele (B) = p = 0.3
Then we are tasked with finding the frequency of recessive green allele (G). = q ???(unknown)
From above equation; we have :
p + q = 1
Since p = 0.3, we can find q
q can now be ;
q = 1 - p
q = 1 - 0.3
q = 0.7
If q = 0.7;
then q² = (0.7)²
q² = 0.49
We can now multiply the frequency of individuals by the total population in order to get the number of individal with the given genotype were are tasked to find;
So, we have:
= 0.49 × 500
= 245
∴ From the total population; there are 245 green winged butterflies in population of 500 butterflies.
