Answer:
(a) k=0.06217
(b)
(c) 556,755 is the population in 2012
Step-by-step explanation:
Population increased from 264,036 in 1990 to 491,675 in 2000.
Let assume , year 1990 as t=0
When t=0, population P = 264,036
When t=10, population P = 491,675
Exponential growth equation is P=P_0e^(kt)
is the initial population when t=0
So
When t=10, population P = 491,675
Plug in all the values and find out k
Divide both sides by 264036
To remove 'e' we take ln on both sides
The value of ln(e) = 1
Divide both sides by 10
k=0.06217
Exponential growth equation is
We know
Replace the value of k
Now , we find the population in 2012
For year 2012 , t= 12
So we plug on 12 for t and solve for P
P = 556755.09504
556,755 is the population in 2012