Answer:
P(t) = 20.7e^0.0087816t
Step-by-step explanation:
Given that :
Initial population ; Jan 1, 2000 = 20.7 million
Current population ; Jan, 2010 = 22.6 million
A function of the form P(t)
Where t = time
Usingbthe exponential growth function :
P(t) = Poe^rt ;
P(t) = population at a time after the initial population figure
Po = initial population
r = growth rate
t = time in years
P(t) = population in 2010 = 22.6 million
Po = population in 2000 = 20.7 million
t = 10 years
22.6 = 20.7e^r * 10
22.6 = 20.7e^10r
22.6 / 20.7 = e^10r
1.0917874 = e^10r
Take the In of both sides
In(1.0917874) = 1n(e^10r)
0.0878162 = 10r
r = 0.0878162 / 10
r = 0.0087816
Hence,
P(t) = 20.7e^0.0087816t
