Question

The curve the order pairs (0,10) and (1,5) and (2,2.5) can be represented by the function f(x)=10(0.5)x What is the multiplicative rate of change if the functions

Answer 1

The multiplicative rate of change is 0.5.

Explanation:

The given function is

`f(x)=10(0.5)^x` .... (1)

It is given that the curve is passing through (0,10), (1,5) and (2,2.5).

The exponential function is defined as

`f(x)=ab^x` .... (2)

Where, a is initial value and b is growth factor of multiplicative rate of change.

On comparing (1) and (2), we get

`a=10`

`b=0.5`

Therefore the multiplicative rate of change is 0.5.