A bacteria culture starts with 500 bacteria and grows at a rate proportional to its size. After 5 hours, there are 10000 bacteria. Find a formula for the number of bacteria after t hours. After t hours, there are bacteria. Find the number of bacteria after 6 hours. After 6 hours there are bacteria. Find the growth rate after 6 hours. After 6 hours the rate of growth is bacteria/hour. After how many hours will the population reach 30000? The population will be 30000 at t = hours.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
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A bacteria culture starts with 500 bacteria and grows at a rate proportional to its size. After 5 hours, there are 10000 bacteria.
Find a formula for the number of bacteria after t hours.
After t hours, there are
bacteria.
Find the number of bacteria after 6 hours.
After 6 hours there are
bacteria.
Find the growth rate after 6 hours.
After 6 hours the rate of growth is
bacteria/hour.
After how many hours will the population reach 30000?
The population will be 30000 at t =
hours.
Transcribed Image Text:A bacteria culture starts with 500 bacteria and grows at a rate proportional to its size. After 5 hours, there are 10000 bacteria. Find a formula for the number of bacteria after t hours. After t hours, there are bacteria. Find the number of bacteria after 6 hours. After 6 hours there are bacteria. Find the growth rate after 6 hours. After 6 hours the rate of growth is bacteria/hour. After how many hours will the population reach 30000? The population will be 30000 at t = hours.
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