A common inhabitant of human intestines is the bacterium Escherichia coli, named after the German pediatrician Theodor Escherich, who identified it in 1885. A cell of this bacterium in a nutrient-broth medium divides into two cells every 20 minutes. The initial population of a culture is 40 cells. (a) Find the relative growth rate. k- 3 In(2) hr1 (b) Find an expression for the number of cells after t hours. P(e) = 40(231) (c) Find the number of cells after 7 hours. 83886080 v cells (d) Find the rate of growth after 7 hours. (Round your answer to the nearest integer.) 42587 x cells/h (e) When will the population reach a million cells? (Round your answer to two decimal places.) 4.87

A common inhabitant of human intestines is the bacterium Escherichia coli, named after the German pediatrician Theodor Escherich, who identified it in 1885. A cell of this bacterium in a nutrient-broth medium divides into two cells every 20 minutes. The initial population of a culture is 40 cells. (a) Find the relative growth rate. k- 3 In(2) hr1 (b) Find an expression for the number of cells after t hours. P(e) = 40(231) (c) Find the number of cells after 7 hours. 83886080 v cells (d) Find the rate of growth after 7 hours. (Round your answer to the nearest integer.) 42587 x cells/h (e) When will the population reach a million cells? (Round your answer to two decimal places.) 4.87

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

A common inhabitant of human intestines is the bacterium Escherichia coli, named after the German pediatrician Theodor Escherich, who identified it in 1885. A cell of this bacterium in a nutrient-broth medium divides into two cells every 20 minutes. The initial population
of a culture is 40 cells.
(a) Find the relative growth rate.
k = 3 In(2)
hr-1
(b) Find an expression for the number of cells after t hours.
P(C) = 40(231)
(c) Find the number of cells after 7 hours.
83886080
cells
(d) Find the rate of growth after 7 hours. (Round your answer to the nearest integer.)
42587
X cells/h
(e) When will the population reach a million cells? (Round your answer to two decimal places.)
4.87
h

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