SOLUTION: in 2000, the population of the united states was 286.75 million and the exponential growth rate was 1.3% per year a) Find the exponential growth function. b) Predict the U.S. p

Algebra ->  Testmodule -> SOLUTION: in 2000, the population of the united states was 286.75 million and the exponential growth rate was 1.3% per year a) Find the exponential growth function. b) Predict the U.S. p      Log On


   

Question 884547: in 2000, the population of the united states was 286.75 million and the exponential growth rate was 1.3% per year
a) Find the exponential growth function.
b) Predict the U.S. population in 2005.
C) when will the world population be 8.0 billion?
Formula I think to use: P(t) = P0e+%5Ert
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
in 2000, the population of the united states was 286.75 million and the exponential growth rate was 1.3% per year
a) Find the exponential growth function.
b) Predict the U.S. population in 2005.
C) when will the world population be 8.0 billion?
Formula I think to use: P(t) = P0e+%5Ert yes, you are correct.
.
a) Find the exponential growth function.
A(t) = 286.75e%5E%28.013t%29
b) Predict the U.S. population in 2005.
t = 2005-2000 = 5
A(t) = 286.75e%5E%28.013t%29
A(5) = 286.75e%5E%28.013%2A5%29
A(5) = 286.75e%5E0.065
A(5) = 286.75%2A1.0672
A(5) = 306.008 million

C) when will the world population be 8.0 billion?
set A(t) to 8 billion and solve for t
A(t) = 286.75e%5E%28.013t%29
8000 = 286.75e%5E%28.013t%29
8000 = 286.75e%5E%28.013t%29
27.8988666085 = e%5E%28.013t%29
ln(27.8988666085) = .013t
ln(27.8988666085)/.013 = t
3.32858606465/.013 = t
256.045081896 = t
or approx
256 = t
2000 + 256 = 2256 (the year)