Question

What is the multiplicative rate of change for the exponential function f(x) = 2(5/2)–x?

Answer 1

Don't you mean

f(x) = 2(5/2)^x?  Use " ^ " for exponentiation.

If f(x) = 2(5/2)^x matches the original function, then the mult. rate of change is (5/2).

Answer 2

Answer: The multiplicative rate of change is $\dfrac{5}{2}$

Step-by-step explanation:

Since we have given that

The exponential function would be

$f(x)=2(\dfrac{5}{2})^{-x}$

Since we know the exponential function in general :

$y=ab^{-x}$

Here, a denotes the initial amount

b denotes the multiplicative rate of change.

So, equating both the equation we get that,

$b=\dfrac{5}{2}$

Hence, the multiplicative rate of change is $\dfrac{5}{2}$