Suppose we start with a bacterial colony of 200 E. coli cells growing exponentially. After 90 minutes, the size of the colony has increased to 1600 bacteria cells. P(t)=P0 · bt/k If k = 90 minutes, then what should P (90) be? This should be your starting point. a. (3 points) How many bacteria cells will the colony have after 6 hours? How long does it take for the size of the colony to double? When will there be 1,000,000 E. coli cells in the colony?

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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Suppose we start with a bacterial colony of 200 E. coli cells growing exponentially. After 90 minutes, the size of the colony has increased to 1600 bacteria cells.

P(t)=P0 · bt/k

If k = 90 minutes, then what should P (90) be? This should be your starting point.

a. (3 points) How many bacteria cells will the colony have after 6 hours?

How long does it take for the size of the colony to double?

When will there be 1,000,000 E. coli cells in the colony?

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