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Example 3

A number of bacteria, , at any time , in hours, can be estimated using the function . What was the initial size of the bacteria colony? Is the bacteria population exponentially decaying or growing?
  1. Identify the value of the dependent quantity at .
  2. Identify the hourly rate of change in the function.
  3. Describe how the rate of change relates to the change of the dependent quantity.
This applet is provided by Walch Education as supplemental material for their mathematics programs. Visit www.walch.com for more information.