SOLUTION: Can someone please help me solve this problem: In 2000 the population of a town was 35000. In 2010 it was 50000. Find an exponential model of the form f(t)=A base 0 e^kt for this p

Question 1082254: Can someone please help me solve this problem: In 2000 the population of a town was 35000. In 2010 it was 50000. Find an exponential model of the form f(t)=A base 0 e^kt for this population, where t is time in years since 2000. I also need help finding K but I think you have to use Ln logarithm but I am not sure.
Please and Thank you!
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
You are given 2 points in the form ( t, f(t) )
where is the time in years since 2000
----------------------------------------
The points are:
( 0, 35000 )
( 10, 50000 )
----------------

I can plug in the given points to
find and
---------------------------------

and

Take the natural log of both sides

------------------
The equation is

check the math & get another
opinion if needed

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