the curve through the ordered pairs (0, 10), (1, 5), and (2, 2.5) can be represented by the function…

Answer:

A. 0.5

Explanation:

Step1: Recall exponential - function form

The general form of an exponential function is $y = a\cdot b^{x}$, where $b$ is the multiplicative rate of change.

Step2: Identify the function

The given function is $f(x)=10(0.5)^{x}$.

Step3: Determine the multiplicative rate of change

In the function $f(x)=10(0.5)^{x}$, comparing with $y = a\cdot b^{x}$, we have $b = 0.5$. So the multiplicative rate of change of the function is 0.5.