In 2000, the population of israel was approximately 6.27 million and by 2040 it is projected to grow to 9 million. use the exponential growth model: a=a_o. e^(kt)in which t is the number of years after 2000, to find an exponential growth function that models the data.

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)

left 3, up 4

step-by-step explanation:

just count the values of x & y of the vertex of the graph and see how many units in the x and y direction will get you from the f(x) graph to the f(x) graph

e^-kt = n/n0 = 0.79  

-kt = ln 0.79  

t = - ln 0.79/0.0001  

= 2357 years

step-by-step explanation: