A population of bacteria is growing according to the function below, where t is in hours. How many hours will it take for the population to grow to 1,000 bacteria? Round your answer to the nearest integer. Do not include units in your answer.

B (t) = 50 e2.5t ... ?

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9 December, 20:21

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Answers (1)

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Leonidas Owen · Answer 1

B (t) = 50*e^2.5t

e^2.5t = 20

t = ln (20) / 2.5

set B (t) = 1000 and solve for t via 1000=50e2.5t

20=e2.5t

ln (20) = 2.5t

t=ln (20) / 2.5

A population of bacteria is growing according to the function below, where t is in hours. How many hours will it take for the population to grow to 1,000 bacteria? Round your answer to the nearest integer. Do not include units in your answer.B (t) = 50 e2.5t ... ?