SOLUTION: The population of adamsville grew from 10K to 14K in 5 years. assuming uninhibited exponential growth, what is the expected population in an additional 3 years. Do not round until

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: The population of adamsville grew from 10K to 14K in 5 years. assuming uninhibited exponential growth, what is the expected population in an additional 3 years. Do not round until       Log On


   



Question 1040066: The population of adamsville grew from 10K to 14K in 5 years. assuming uninhibited exponential growth, what is the expected population in an additional 3 years. Do not round until the final answer, then round to the nearest whole number.
I seem to be drawing a blank with this!

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!

The population of adamsville grew from 10K to 14K in 5 years. assuming uninhibited exponential growth, what is the expected population in an additional 3 years. Do not round until the final answer, then round to the nearest whole number.
----
Note:: f(0) = 10K ; f(5) = 14K ; f(8) = ?
-----
Form y = a*b^x
Since f(0) = 10K, ab^0 = a*1 = a = 10K
----
Since f(5) = ab^5, 10K*b^5 = 14K
b^5 = 7/5
b = 1.0606
-------
Therefore
f(8) = 10K*1.0696^8 = 17131.87
--------------
Cheers,
Stan H.
-------------