A bacteria culture starts with 200 bacteria and grows at a rate proportional to its size. After 6 hours there will be 1200 bacteria. (a) Express the population P after t hours as a function of t. P(t)= (b) What will be the population after 4 hours? bacteria (c) How long will it take for the population to reach 2070? 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
Question
A bacteria culture starts with 200 bacteria and grows at a rate proportional to its size. After 6 hours there will
be 1200 bacteria.
(a) Express the population P after t hours as a function of t.
P(t)=
(b) What will be the population after 4 hours?
bacteria
(c) How long will it take for the population to reach 2070? Give your answer accurate to at least 2 decimal
places.
hours
Transcribed Image Text:A bacteria culture starts with 200 bacteria and grows at a rate proportional to its size. After 6 hours there will be 1200 bacteria. (a) Express the population P after t hours as a function of t. P(t)= (b) What will be the population after 4 hours? bacteria (c) How long will it take for the population to reach 2070? Give your answer accurate to at least 2 decimal places. hours
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