This exercise uses the population growth model. A certain culture of the bacterium Rhodobacter sphaeroides initially has 15 bacteria and is observed to double every 4 hours. (a) Find an exponential model n(t) = n02t/a for the number of bacteria in the culture after t hours. n(t) = (b) Estimate the number of bacteria after 13 hours. (Round your answer to the nearest whole number.) bacteria (c) After how many hours will the bacteria count reach 1 million? (Round your answer to one decimal place.)
This exercise uses the population growth model. A certain culture of the bacterium Rhodobacter sphaeroides initially has 15 bacteria and is observed to double every 4 hours. (a) Find an exponential model n(t) = n02t/a for the number of bacteria in the culture after t hours. n(t) = (b) Estimate the number of bacteria after 13 hours. (Round your answer to the nearest whole number.) bacteria (c) After how many hours will the bacteria count reach 1 million? (Round your answer to one decimal place.)
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 12CC: Suppose that the initial size of a population is n0 and the population grows exponentially. Let n(t)...
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This exercise uses the population growth model.
A certain culture of the bacterium Rhodobacter sphaeroides initially has 15 bacteria and is observed to double every 4 hours.
(a) Find an exponential model n(t) = n02t/a
for the number of bacteria in the culture after t hours.
n(t) =
(b) Estimate the number of bacteria after 13 hours. (Round your answer to the nearest whole number.)
bacteria
(c) After how many hours will the bacteria count reach 1 million? (Round your answer to one decimal place.)
t =
hr
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