This exercise uses the population growth model. A certain culture of the bacterium Streptococcus A initially has 6 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 23 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 =

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter10: Exponential And Logarithmic Functions
Section10.5: Solve Exponential And Logarithmic Equations
Problem 10.88TI: Researchers recorded that a certain bacteria population declined from 700,000 to 400,000 in 5 hours...
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This exercise uses the population growth model.
A certain culture of the bacterium Streptococcus A initially has 6 bacteria and is observed to double every 1.5 hours.
(a) Find an exponential model n(t) = no2/a for the number of bacteria in the culture after t hours.
%3D
n(t) =
(b) Estimate the number of bacteria after 23 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.)
Transcribed Image Text:This exercise uses the population growth model. A certain culture of the bacterium Streptococcus A initially has 6 bacteria and is observed to double every 1.5 hours. (a) Find an exponential model n(t) = no2/a for the number of bacteria in the culture after t hours. %3D n(t) = (b) Estimate the number of bacteria after 23 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.)
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