Answer: 0.5 is the multiplicative rate of change of the given function.
Step-by-step explanation:
Let the given function is,
\(y= ab^x\)
where a is the multiplicative rate of change.
Since by the table,
If x=1, y=0.25
That is, \(0.25 = ab^1\)
⇒ab= 0.25 ------ (1)
Again By the table if x= 2 y= 0.125
\(0.125 = ab^2\)
⇒(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.
