A bacteria culture starts with 580 bacteria and grows at a rate proportional to its size. After 5 hours there will be 2900 bacteria. (a) Express the population after t hours as a function of t. population: (function of t) (b) What will be the population after 9 hours? (c) How long will it take for the population to reach 2370?

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 580 bacteria and grows at a
rate proportional to its size. After 5 hours there will be
2900 bacteria.
(a) Express the population after t hours as a function of t.
population:
(function of t)
(b) What will be the population after 9 hours?
(c) How long will it take for the population to reach 2370 ?
Transcribed Image Text:A bacteria culture starts with 580 bacteria and grows at a rate proportional to its size. After 5 hours there will be 2900 bacteria. (a) Express the population after t hours as a function of t. population: (function of t) (b) What will be the population after 9 hours? (c) How long will it take for the population to reach 2370 ?
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