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Part 1:

A population [math] of [math] bacteria increases by [math] every [math] hours. Let [math] be time in hours.
The formula is going to look something like: [math] Our goal is to find values for [math] and [math]
  1. What is the initial size of the population? This is the result we should get at [math] (no time goes by).
    [math]
  2. We are told there is an [math]increase that occurs over the span of [math] hours. We will call this the “overall” percent increase. We want the “hourly” percent increase.
    What overall growth factor corresponds to an [math]increase?

Solution:

Part 2: