# Math

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A pathologist, trying to identify a bacterial infection, places a sample in a growth chamber and measures
1000 bacteria at the end of day 5 of the test. From daily measurements, the growth rate of the number of
bacteria is determined to be 5% per day.

Note that:

A linear relationships is of the form y = A + kx

A logarithmic/exponential relationship is of the form y = Aekx

A power law relationship is of the form y = Axk

What type of graph will give a straight line plot of the number of bacteria vs. time?

Determine A and k for that form.

How many bacteria were in the sample when the test started at the beginning of day 1?

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