In 2000 the population of Isreal was approximately 6.04 million and by 2050 it is projected to grow to 10 million
Use the exponential growth model A=A oekt in which t is the number of years after 2000 to find an exponential growth function that models the data.


I am not even sure of the correct way to write this because the o and e after the A are exponents but on the bottem of this and the k and t are regular exponents

I sure hope some one can help with this one there is also a small graph with this That I have no way of getting in here please some one help me on this

You need to find the applicable value of k for this situation. Plug in all of the other parameters ; A , Ao and t.

I think this is easier way to type:

Let p be the population at time t = 0. (year 2000)

P is the population at time t

P = p e^kt

When t = 0: P = 6.04

Hence P = 6.04 e^kt

When t = 50, P = 10

10 = 6.04 e^50k

e^50k = 10/6.04 = 1.655629139

Take log of both sides

50 k = log 1.655629139 (base e) = 0.504181049

k = 0.010083621

Hence the model is:

P = 6.04 e^kt where k = 0.010083621