the table represents an exponential function. what is the multiplicative rate of change of the…

Explanation:

Step1: Recall multiplicative - rate formula

For an exponential function $y = a\cdot b^x$, the multiplicative rate of change $b$ can be found by dividing consecutive $y$ - values. Let $y_1$ and $y_2$ be two consecutive $y$ - values. Then $b=\frac{y_2}{y_1}$.

Step2: Select two consecutive points

Let's take the first two points $(1,0.25)$ and $(2,0.125)$. Here, $y_1 = 0.25$ and $y_2=0.125$.

Step3: Calculate the multiplicative rate of change

$b=\frac{y_2}{y_1}=\frac{0.125}{0.25}=0.5$

Answer:

$0.5$