bacteria culture starts with 10001000 bacteria and grows at a rate proportional to its size. After 55 hours there will be 50005000 bacteria. (a) Express the population PP after tt hours as a function of tt. Be sure to keep at least 4 significant figures on the growth rate. P(t)P⁡(t)=    (b) What will be the population after 6 hours?    bacteria

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter6: Vector Spaces
Section6.7: Applications
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A bacteria culture starts with 10001000 bacteria and grows at a rate proportional to its size. After 55 hours there will be 50005000 bacteria.

(a) Express the population PP after tt hours as a function of tt. Be sure to keep at least 4 significant figures on the growth rate.
P(t)P⁡(t)=   

(b) What will be the population after 6 hours?
   bacteria

(c) How long will it take for the population to reach 1990? Give your answer accurate to at least 2 decimal places.
   hours
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