A bacteria culture starts with 480 bacteria and grows at a rate proportional to its size. After 2 hours there will be 960 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 3 hours? bacteria (c) How long will it take for the population to reach 1650? Give your answer accurate to at least 2 decimal places. hours

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 13EQ
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A bacteria culture starts with 480 bacteria and grows at a
rate proportional to its size. After 2 hours there will be
960 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 3 hours?
bacteria
(c) How long will it take for the population to reach 1650?
Give your answer accurate to at least 2 decimal places.
hours
Transcribed Image Text:A bacteria culture starts with 480 bacteria and grows at a rate proportional to its size. After 2 hours there will be 960 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 3 hours? bacteria (c) How long will it take for the population to reach 1650? Give your answer accurate to at least 2 decimal places. hours
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