E. coli population A common inhabitant of human  intestines is the bacterium Escherichia coli. A cell of this  bacterium in a nutrient-broth medium divides into two cells  every 20 minutes. The initial population of a culture is 60 cells.(a) Find the relative growth rate.(b) Find an expression for the number of cells after t hours.(c) Find the number of cells after 8 hours.(d) Find the rate of growth after 8 hours.(e) When will the population reach 20,000 cells?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 23E
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E. coli population A common inhabitant of human  intestines is the bacterium Escherichia coli. A cell of this  bacterium in a nutrient-broth medium divides into two cells  every 20 minutes. The initial population of a culture is 60 cells.
(a) Find the relative growth rate.
(b) Find an expression for the number of cells after t hours.
(c) Find the number of cells after 8 hours.
(d) Find the rate of growth after 8 hours.
(e) When will the population reach 20,000 cells?

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