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Approximating Change

The following data were obtained for the growth of a sheep population introduced into a new environment on hte island of Tasmania.

Year                   Population
1814                  125
1824                  275
1834                  830
1844                  1200
1854                  1750
1864                  1650

Plot the data.  Is there a trend?  Plot the change in population versus years elapsed after 1814.  Formulate a discrete dynamical system that reasonably approximates the change you have observed.
Tags: math -- approximating change
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