Answer:
A = (6.27*10^6).e^(0.009t)
Step-by-step explanation:
Exponential growth model,
A = Ao.e^(kt)
In 2000, the population of Israel is 6.27 million or 6.27*10^6
The question set the t, as the time in year starting 2000
i.e. at t= 0, Ao = 6.27*10^6
In 2040, the population is projected to grow to 9 million or 9*10^6.
In this year, t=40 because it is 40 year after the projected as t=0 (in 2000).
Substitute the t =40 and A=9*10^6
9*10^6 = (6.27*10^6).e^(40k)
e^(40k)= 9/6.27 = 1.435
40k = ln(1.435) (here we do natural log for both left and right side)
40k = 0.36
k = 0.009
Therefore, the growth function is
A = (6.27*10^6).e^(0.009t)
