1. anonymous

The wing color of a certain species of moth is controlled by alleles at a single locus. Gray (G) is dominant to white (g). A scientist studied a large population of these moths, tracking the frequency of the G allele over time, as shown in the figure below.

2. anonymous

3. anonymous

Assuming that the population was in Hardy-Weinberg equilibrium for this gene, what percentage of the moth population was homozygous recessive (gg) in 1975?

4. anonymous

A) 25% B) 36% C) 64% D) 75%

5. anonymous

@amistre64 @Nnesha @Compassionate @mathmate

6. amistre64

define: Hardy-Weinberg equilibrium

7. anonymous

p + q = 1?

8. anonymous

I think the answer is C by the way.

9. amistre64

the wiki defines it as: allele and genotype frequencies in a population will remain constant from generation to generation in the absence of other evolutionary influences.

10. anonymous

Okay

11. amistre64

that simply means that the ratio remains consistent .... how to apply that i dont know yet, need to scour the google some more

12. anonymous

Okay please do. I really need this :D

13. amistre64

ok, i see the p+q=1 in that f(AA) = p^2 f(aa) = q^2 f(Aa) = 2pq which are the terms of the expansion of: (p+q)^2 = 1

14. anonymous

Okay I understand so far.

15. amistre64

Gg is a geno type? G and g are alleles? or how do we define those words?

16. anonymous

Yes that is how we define it in my class as well.

17. amistre64

im trying to determine how we go from a frequency an allele of G, to determining a genotype of (gg)

18. amistre64

a pundit square is like G g G GG Gg g Gg gg g g G Gg Gg g gg gg g g G Gg Gg G Gg Gg

19. anonymous

Yes

20. anonymous

So would my answer be correct?

21. amistre64

i cannot verify your answer, i simply do not have enough experience with this stuff to confirm or deny it. it 'seems' like a good answer; but can you back up its reasoning? even then, i cant verify it.

22. anonymous

Okay thank you so much! @amistre64

23. amistre64

good luck with it

24. amistre64

i wonder $(G+g)^2=1$ $GG+2Gg+\underbrace{gg}_{\text{solution ?}}=1$

25. amistre64

if G is between .4 and .5 g is between .5 and .6 gg, or g^2, is between .25 and .36 but of course both of those extremes are solution options, and i dont see an option between them so this idea might not hold any value

26. amistre64

http://www.k-state.edu/parasitology/biology198/answers1.html ok, the idea is good ... at least according to this