law of exponential growth y=ae^bt

Question

t=0 at 1997

 

                1997     2020

croatia        5            4.8

mali            9.9         20.24

singapore   3.5              4.3

sweden        8.9          9.5

 

find a and b and then find population for 2030. help!!! how do you find a and b

Answer 1

"Croatia" is done as a model. You can follow the model to do the rest.

 

"a" is the value for each at 1997.

 

4.8 = (5)e^13b

0.96 = e^13b

ln 0.96 = ln e^13b

ln 0.96 = 13b ln e

ln 0.96 = 13b

-0.04082 ≈ 13b

-0.00314 ≈ b