The number of bacteria in a liquid culture is observed to grow at a rate proportional to the number of cells present. At the beginning of the experiment there are 104 cells and after 3 hours there are 3 x 105 cells. a Calculate the number of bacteria after 1 day of growth if this rate of growth continues. b Determine the doubling time of the bacteria.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.CR: Chapter 4 Review
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8 The number of bacteria in a liquid culture
is observed to grow at a rate proportional
to the number of cells present. At the
beginning of the experiment there are 104
cells and after 3 hours there are 3 x 105
cells.
a Calculate the number of bacteria after
1 day of growth if this rate of growth
continues.
b Determine the doubling time of the
bacteria.
Transcribed Image Text:8 The number of bacteria in a liquid culture is observed to grow at a rate proportional to the number of cells present. At the beginning of the experiment there are 104 cells and after 3 hours there are 3 x 105 cells. a Calculate the number of bacteria after 1 day of growth if this rate of growth continues. b Determine the doubling time of the bacteria.
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