SOLUTION: A national census bureau predicts that a certain population will increase from 36.4 million in 2000 to 63.8 million in 2040 Find an exponential function of the form ​f(t)=y

Algebra ->  Finance -> SOLUTION: A national census bureau predicts that a certain population will increase from 36.4 million in 2000 to 63.8 million in 2040 Find an exponential function of the form ​f(t)=y      Log On


   

Question 1098722: A national census bureau predicts that a certain population will increase from 36.4 million in 2000 to 63.8 million in 2040
Find an exponential function of the form ​f(t)=y 0 b ^t for these​ data, in which t=0 corresponds to​ 2000, and​ f(t) is in millions.
f(t)=?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
When t=0, f%28t%29=36.4
f%28t%29=y%5B0%5Db%5Et=y%5B0%5D%2A1=36.4
y%5B0%5D=36.4
When t=40, f%28t%29=63.8
36.4%2Ab%5E40=63.8
b%5E40=63.8%2F36.4
b=%2863.8%2F36.4%29%5E0.025
b=1.01412
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highlight%28f%28t%29=36.4%2A1.01412%5Et%29