SOLUTION: In 1995, the population of Israel was approximately 6.195 million and by 2031 it is projected to grow to 13 million. Use the exponential growth model A = A_0 e^{kt}, where t is the

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: In 1995, the population of Israel was approximately 6.195 million and by 2031 it is projected to grow to 13 million. Use the exponential growth model A = A_0 e^{kt}, where t is the      Log On


   

Question 1103051: In 1995, the population of Israel was approximately 6.195 million and by 2031 it is projected to grow to 13 million. Use the exponential growth model A = A_0 e^{kt}, where t is the number of years after 1995, to find an exponential growth function that models the data. For all constants in the function, round decimals to three decimal places.
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
A=A%5Bo%5De%5E%28kt%29, and points are (0,6.195) and (36,13).

ln%28A%5Bo%5De%5E%28kt%29%29=ln%28A%29
ln%28A%5Bo%5D%29%2Bkt=ln%28A%29
highlight_green%28ln%28A%29=kt%2Bln%28A%5Bo%5D%29%29
This is a linear equation and the slope is k and you are actually given the vertical axis intercept for this form of the equation.

If using this form, be careful to handle the values according to how they are shown in the linearized form of the equation.