This exercise uses the population growth model. A certain culture of the bacterium Streptococcus A initially has 12 bacteria and is observed to double every 1.5 hours. (a) Find an exponential model n(t) = no2a for the number of bacteria in the culture after t hours. n(t) = (b) Estimate the number of bacteria after 31 hours. (Round your answer to the nearest whole number.) bacteria (c) After how many hours will the bacteria count reach 10,000? (Round your answer to one decimal place.) t =

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 Streptococcus A initially has 12 bacteria and is observed to double every 1.5 hours.
(a) Find an exponential model n(t) = no2 for the number of bacteria in the culture after t hours.
%3D
n(t)
(b) Estimate the number of bacteria after 31 hours. (Round your answer to the nearest whole number.)
bacteria
(c) After how many hours will the bacteria count reach 10,000? (Round your answer to one decimal place.)
h.
Transcribed Image Text:This exercise uses the population growth model. A certain culture of the bacterium Streptococcus A initially has 12 bacteria and is observed to double every 1.5 hours. (a) Find an exponential model n(t) = no2 for the number of bacteria in the culture after t hours. %3D n(t) (b) Estimate the number of bacteria after 31 hours. (Round your answer to the nearest whole number.) bacteria (c) After how many hours will the bacteria count reach 10,000? (Round your answer to one decimal place.) h.
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