Given enough food and space, a colony of yeast increases at a rate proportional to its population. After an hour, it becomes 5 times of its initial population. It started with 125 yeast. Find: the formula for the colony aftert minutes; the number of yeast after 2.00 hours; the time in minutes when the colony becomes 25 000; the rate of growth after 3.00 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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3. Given enough food and space, a colony of yeast increases at a rate proportional to its population. After an hour,
it becomes 5 times of its initial population. It started with 125 yeast. Find:
the formula for the colony after t minutes;
the number of yeast after 2.00 hours;
the time in minutes when the colony becomes 25 000;
the rate of growth after 3.00 hours.
Transcribed Image Text:3. Given enough food and space, a colony of yeast increases at a rate proportional to its population. After an hour, it becomes 5 times of its initial population. It started with 125 yeast. Find: the formula for the colony after t minutes; the number of yeast after 2.00 hours; the time in minutes when the colony becomes 25 000; the rate of growth after 3.00 hours.
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