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 50 cells.

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ISBN:9781938168383
Author:Jay Abramson
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Chapter4: Linear Functions
Section4.1: Linear Functions
Problem 119SE: A city’s population in the year 1960 was 287,500.In 1989 the population was 275,900. Computethe rate...
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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 50 cells.

(a) Find the relative growth rate.
k =
hr-1
(b) Find an expression for the number of cells after t hours.
P(t) =
(c) Find the number of cells after 7 hours.
cells
(d) Find the rate of growth after 7 hours. (Round your answer to the nearest integer.)
cells/h
(e) When will the population reach a million cells? (Round your answer to two decimal places.)
h
Transcribed Image Text:(a) Find the relative growth rate. k = hr-1 (b) Find an expression for the number of cells after t hours. P(t) = (c) Find the number of cells after 7 hours. cells (d) Find the rate of growth after 7 hours. (Round your answer to the nearest integer.) cells/h (e) When will the population reach a million cells? (Round your answer to two decimal places.) h
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Find the rate of growth after 6 hours.

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