A farmer plants transgenic Bt corn that is genetically modified to produce its own insecticide. Of the corn borer larvae feeding on these Bt corn plants, only 1 percent survive unless they have at least one copy of the dominant resistance allele B that confers resistance to the Bt insecticide. When the farmer first plants Bt corn, the frequency of the B resistance allele in the corn borer population is 0.30.

What will be the frequency of the resistance allele (B) after one generation of corn borers fed on Bt corn?

The following equation may be useful: q'=q (1-sq) / 1-sq 2 where q' is the frequency of the b allele after one generation, q is the current frequency of the b allele, and s is the selection coefficient against corn borer larvae.

Express your answer as a decimal to two places.

p? =

Question

Biology

Jaelyn

16 June, 16:33

A farmer plants transgenic Bt corn that is genetically modified to produce its own insecticide. Of the corn borer larvae feeding on these Bt corn plants, only 1 percent survive unless they have at least one copy of the dominant resistance allele B that confers resistance to the Bt insecticide. When the farmer first plants Bt corn, the frequency of the B resistance allele in the corn borer population is 0.30.

What will be the frequency of the resistance allele (B) after one generation of corn borers fed on Bt corn?

The following equation may be useful: q'=q (1-sq) / 1-sq 2 where q' is the frequency of the b allele after one generation, q is the current frequency of the b allele, and s is the selection coefficient against corn borer larvae.

Express your answer as a decimal to two places.

p? =

+3

Answers (1)

Know the Answer?

Bianca · Answer 1

From the problem, we are given the equation to use:

q'=q (1-sq) / (1-sq²)

and the following dа ta:

q = 0.01

s = 0.3

Substituting the values:

q' = (0.01) (1-0.3 (0.01)) / (1 - (0.3) (0.01) ²)

q' = 0.10

The new frequency of the resistance will be 10%