Mutation accumulation When a population is subjected to a mutagen, the fraction of the population that contains at least one mutation increases with the duration of the exposure. A commonly used equation describing this fraction is f(t) = 1 et, where is the mutation rate and is positive. Suppose we have two populations, A and B. Population A is subjected to the mutagen for 3 min whereas, with population B, half of the individuals are subjected to the mutagen for 2 min and the other half for 4 min. Which population will have the largest fraction of mutants? Explain your answer using derivatives. MacBook Pro

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52. Mutation accumulation
When a population is subjected
to a mutagen, the fraction of the population that contains
at least one mutation increases with the duration of the
exposure. A commonly used equation describing this
fraction is f(t) = 1-et, where is the mutation rate
and is positive. Suppose we have two populations, A and B.
Population A is subjected to the mutagen for 3 min
whereas, with population B, half of the individuals are
subjected to the mutagen for 2 min and the other half for
4 min. Which population will have the largest fraction of
mutants? Explain your answer using derivatives.
54
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Transcribed Image Text:3 52. Mutation accumulation When a population is subjected to a mutagen, the fraction of the population that contains at least one mutation increases with the duration of the exposure. A commonly used equation describing this fraction is f(t) = 1-et, where is the mutation rate and is positive. Suppose we have two populations, A and B. Population A is subjected to the mutagen for 3 min whereas, with population B, half of the individuals are subjected to the mutagen for 2 min and the other half for 4 min. Which population will have the largest fraction of mutants? Explain your answer using derivatives. 54 $ 4 % 5 1 ^ MacBook Pro > & 7 A * 14 8 ( 9 < C .O I' P + 11 } delete
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