Question

the curve through the ordered pairs (0, 10), (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 of the function?\
\bigcirc 0.5\
\bigcirc 2\
\bigcirc 2.5\
\bigcirc 5

Explanation:

Step1: Recall exponential function form

An exponential function is $f(x)=a(b)^x$, where $b$ is the multiplicative rate of change, $a
eq0$, $b>0,b
eq1$.

Step2: Match given function to form

The given function is $f(x)=10(0.5)^x$. Here, $b=0.5$.

Answer:

0.5