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The Trouble With Tribbles or ...



more about
exponential
modeling



          tribbles by flickr user tr67
Example 1: A colony of bacteria doubles every 6 days. If there were 3000
bacteria to begin with how many bacteria will there be in 15 days?
The Trouble with Tribbles




                            Video Source
Example 2: The mass (in grams) of radioactive material in a sample is given by:



where t is measured in years.

(a) Find the half-life of this radioactive substance.
(b) Create a model using the half-life you found in (a). How much of a 10 gram
sample of the material will remain after 40 years?
Pre-Cal 40S Slides April 23, 2008
Pre-Cal 40S Slides April 23, 2008
Pre-Cal 40S Slides April 23, 2008
Pre-Cal 40S Slides April 23, 2008
Pre-Cal 40S Slides April 23, 2008
Pre-Cal 40S Slides April 23, 2008
Pre-Cal 40S Slides April 23, 2008
Pre-Cal 40S Slides April 23, 2008

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Pre-Cal 40S Slides April 23, 2008

  • 1. The Trouble With Tribbles or ... more about exponential modeling tribbles by flickr user tr67
  • 2. Example 1: A colony of bacteria doubles every 6 days. If there were 3000 bacteria to begin with how many bacteria will there be in 15 days?
  • 3. The Trouble with Tribbles Video Source
  • 4. Example 2: The mass (in grams) of radioactive material in a sample is given by: where t is measured in years. (a) Find the half-life of this radioactive substance. (b) Create a model using the half-life you found in (a). How much of a 10 gram sample of the material will remain after 40 years?