A bacteria culture starts with 400 bacteria and grows at a rate proportional to its size. After 5 hours there will be 2000 bacteria. (a) Express the population P after t hours as a function of t. Be sure to keep at least 4 significant figures on the growth rate. P(t)= (b) What will be the population after 9 hours? bacteria (c) How long will it take for the population to reach 2630? Give your answer accurate to at least 2 decimal places. hours

College Physics
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Author:Raymond A. Serway, Chris Vuille
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Chapter1: Introduction
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Problem 31P: (a) About how many microorganisms are found in the human intestinal tract? (A typical bacterial...
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A bacteria culture starts with 400 bacteria and grows at a rate proportional to its size. After 5 hours there
will be 2000 bacteria.
(a) Express the population P after t hours as a function of t. Be sure to keep at least 4 significant figures on
the growth rate.
P(t)=
(b) What will be the population after 9 hours?
bacteria
(c) How long will it take for the population to reach 2630? Give your answer accurate to at least 2 decimal
places.
hours
Transcribed Image Text:A bacteria culture starts with 400 bacteria and grows at a rate proportional to its size. After 5 hours there will be 2000 bacteria. (a) Express the population P after t hours as a function of t. Be sure to keep at least 4 significant figures on the growth rate. P(t)= (b) What will be the population after 9 hours? bacteria (c) How long will it take for the population to reach 2630? Give your answer accurate to at least 2 decimal places. hours
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