Explain how a mutation causing resistance to pyrethrins and pyrethroids would spread through a population of bed bugs that are being treated with the pesticide

If a bed bug has the resistance, and the other bed bugs are killed off, when that bed bug reproduces, more of its offspring will be resistant. The resistance to the pesticide will swell through generations of bed bugs.

your answer should be c) enjoy!

the principles and empirical processes of discovery and demonstration considered characteristic of or necessary for scientific investigation, generally involving the observation of phenomena, the formulation of a hypothesis concerning the phenomena, experimentation to test the hypothesis, and development of a conclusion that confirms, rejects, or modifies the hypothesis.