Answer: 0.5 is the multiplicative rate of change of the given function.
Step-by-step explanation:
Let the given function is,
[tex]y= ab^x[/tex]
where a is the multiplicative rate of change.
Since by the table,
If x=1, y=0.25
That is, [tex]0.25 = ab^1[/tex]
⇒ab= 0.25 ------ (1)
Again By the table if x= 2 y= 0.125
[tex]0.125 = ab^2[/tex]
⇒(ab)b=0.125⇒b=0.125/ab=0.125/0.25=0.5
b=0.5
Thus, after putting this value in equation 1) we get, a=0.5
Thus, the multiplicative rate of change for this function is 0.5.
