Question

Select any country worldwide and search out its population and growth rate in 2010. Then use the equation bellow to predict the countries population in 2020, 2030, 2040, 2050, and 2060. Please show your work. You may construct a table similar to the one below to demonstrate your answers. (Note: You may choose any set of 5 ten year increments if you have difficulty finding 2010 data.) Use N=N₀e^kt

N = The population in the year you are trying to predict
N₀ = Starting population
e = mathematical constant = 2.718
k = growth rate expressed as a decimal. For instance a growth rate of 2% has a k=0.02
t = time in future years

Country _______________ Growth Rate ________________ Starting Population ____________ in year __________.

Year	Work	Predicted Population
2010
2020
2030
2040
2050
2060

Answer 1

country -- Australia

growth rate --- 1.6% annually

starting population = 22 million

22 ( 1 + .016 )^t = 22 e^( kt )

1.016 ^t = e^kt

k = ln 1.1016

k = 0.01587

y = 22 e^( 0.01587 t )

year	work	predicted population
2010	22 e^( 0.01587 *0 )	22 million
2020	22 e^( 0.01587 *10)	26 million
2030	22 e^( 0.01587 *20 )	30 million
2040	22 e^( 0.01587 *30 )	35 million
2050	22 e^( 0.01587 *40)	42 million
2060	22 e^( 0.01587 *50)	49 million