Answer: The multiplicative rate of change of the function is 0.5.
Explanation :-
The exponential function is given by
[tex]y=Ab^x[/tex], b is the rate of change and x is the time period.
It can be seen that it is a GP, therefore [tex]b=\frac{y_{n}}{y_{n-1}}[/tex]
From the given table we can see at x=1 , y=0.25
At x=2 ,y=0.125
The multiplicative rate of change of the function [tex]b=\frac{y_2}{y_1}=\frac{0.125}{0.25}=0.5[/tex]
At x=3 ,y=0.0625
The multiplicative rate of change of the function [tex]b=\frac{y_3}{y_2}=\frac{0.0625}{0.125}=0.5[/tex]
Thus multiplicative rate of change of the exponential function is 0.5 .
