The initial size of a culture of bacteria is 1000. After 1 hour the bacteria count is 8000. (a) Find a function n(t) = n0ert that models the population after t hours.(b) Find the population after 1.5 hours.(c) After how many hours will the number of bacteria reach 15,000?(d) Sketch the graph of the population function.
The initial size of a culture of bacteria is 1000. After 1 hour the bacteria count is 8000. (a) Find a function n(t) = n0ert that models the population after t hours.(b) Find the population after 1.5 hours.(c) After how many hours will the number of bacteria reach 15,000?(d) Sketch the graph of the population function.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 9T
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The initial size of a culture of bacteria is 1000. After 1 hour the bacteria count is 8000. (a) Find a function n(t) = n0ert that models the population after t hours.
(b) Find the population after 1.5 hours.
(c) After how many hours will the number of bacteria reach 15,000?
(d) Sketch the graph of the population function.
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