The multiplicative rate of change of the function is:
5
We are given a function f(x) in terms of the variable x as:
[tex]f(x)=2\cdot 5^x[/tex]
The function passes through:
(1, 10), (2, 50), and (3, 250).
We know that the multiplicative rate of change of the exponential function :
[tex]f(x)=ab^x[/tex]
is b.
Here we have: a=2 and b=5
(i.e. there is a multiplication by a fixed number i.e. 5 as compared to the preceding value )
Hence, the multiplicative rate of change is:
5
