SOLUTION: The population of a small town is decreasing at the rate of 2% per year. The town historian record of the population at the end of each year. IN 2000, the population was 5300. if t

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Question 1189630: The population of a small town is decreasing at the rate of 2% per year. The town historian record of the population at the end of each year. IN 2000, the population was 5300. if the decrease continued, what would have been the population in 2008
Answer by ikleyn(52835)   (Show Source): You can put this solution on YOUR website!
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The population of a small town is decreasing at the rate of 2% per year.
The town historian record of the population at the end of each year.
IN 2000, the population was 5300. if the decrease continued,
what would have been the population in 2008 ?
~~~~~~~~~~~~~~~ 

The formula for this decreasing exponential function (population versus time) is

    P(t) = , 

where "t" is the time in years after the year 2000.  At 2008, we have t-2000 = 2008-2000 = 8,

so the exponent in the function is 8.


Thus, the answer is  P(2008) =  = 4509,  rounded to the closest integer number.

Solved.



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