Modeling Growth of E. Coli Bacteria
The problem: A type of
bacteria that inhabits the intestines of animals is named E. coli (Eschenchia
coli). These bacteria are capable of rapid growth and can be dangerous
to humans -- especially children. In one study, E. coli bacteria were
capable of doubling in number every 49.5 minutes. Their number N after
x minutes could be modeled by
This model will be examined by:
a). Making a conjecture about the number of bacteria per milliliter after 99 minutes. Verify your conjecture.
b). Determining graphically
the elapsed time when there were 25 million bacteria per milliliter.
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