The bacteria Streptococcus pneumoniae (S. pneumoniae) is the cause of many human diseases, the most common being pneumonia. A culture of these bacteria initially has 10 bacteria and increases at a rate of 25% per hour. (a) Find the hourly growth factor a. a = Find an exponential model f(t) = Cat for the bacteria count in the sample, where t is measured in hours. f(t) = (b) Use the model you found to predict the number of bacteria in the sample after 4 hours. (Round your answer to the nearest whole number.) bacteria Laurence Gough/Shutterstock.com 2009

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 11T: Suppose that $12,000 is invested in a saving account paying 5.6% interest per year. (a)Write the...
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The bacteria Streptococcus pneumoniae (S. pneumoniae) is the cause of many human diseases, the most common being pneumonia. A culture of these bacteria initially
has 10 bacteria and increases at
rate of 25% per hour.
(a) Find the hourly growth factor a.
a =
Find an exponential model f(t) = Cat for the bacteria count in the sample, where t is measured in hours.
f(t)
(b) Use the model you found to predict the number of bacteria in the sample after 4 hours. (Round your answer to the nearest whole number.)
bacteria
Laurence Gough/Shutterstock.com 2009
Transcribed Image Text:The bacteria Streptococcus pneumoniae (S. pneumoniae) is the cause of many human diseases, the most common being pneumonia. A culture of these bacteria initially has 10 bacteria and increases at rate of 25% per hour. (a) Find the hourly growth factor a. a = Find an exponential model f(t) = Cat for the bacteria count in the sample, where t is measured in hours. f(t) (b) Use the model you found to predict the number of bacteria in the sample after 4 hours. (Round your answer to the nearest whole number.) bacteria Laurence Gough/Shutterstock.com 2009
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