Question 135749: This is all one problem. I'm having trouble with this: In 1997, the population of the United States was about 266 million and the exponential growth rate 0.9% per year.
a) find the exponential growth function
b) what will the population be in 2002?
d) when will the population be doubled?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! This is all one problem. I'm having trouble with this: In 1997, the population of the United States was about 266 million and the exponential growth rate 0.9% per year.
a) find the exponential growth function
pop=266(1.09)^x million where x is the number of years after 1997)
-------------------------------------------
b) what will the population be in 2002?
P(5)=266(1.09)^5 = 409.27 million
-------------------------------------------
d) when will the population be doubled?
2*266=266(1.09)^x
2 = 1.09^x
x= log2/log1.09
x = 8.04 years
---------------
Year = 1997+8.04 = 2005.04
So, the answer is either 2005 or 2006 depending on what you do with
that 0.04 years.
===================
Cheers,
Stan H.
|
|
|
