The Problem
The population of a small mining town is given in the table below:
Year
1990 1993 1996 2000 2004 2008 2012
Population 4000 3010 2400 1950 1625 1400 1220
The decline in population is said to follow a logarithmic model where x = 1
represents the year 1990, x= 2 represents 1991, and so on.
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1. Using a regression equation, estimate the population in 1995.
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2. An ore deposit is found near the town and experts forecast the
population will increase exponentially and reach 4000 again in 10 years.
a) Find an exponential equation that models this growth.
b) By what percent must the population increase each year for the
population to reach 4000 by 2022?
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