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# Find equation for P at t where t is time and P is Production in thousands.

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Using P@t=P@initial time(1+r)to the t power. where r is the percentage rate increase and t is the difference in ending year and beginning year. Find equation for P @any t. Use this chart:
Year 1825 1850 1875 1900 1925 1950 1975
P(in 100 152 218 301 404 535 700
thousands)

##### Solution Summary

The value of a function at different points is used to find an equation.

##### Solution Preview

Suppose t=0 means year 1825, thus the initial P0 is 100 thousands.
We have ...

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