what is the multiplicative rate of change of the exponential function represented in the table?\n1.5\n2.25\n3…

Answer:

A. 1.5

Explanation:

Step1: Recall multiplicative - rate formula

For an exponential function $y = ab^{x}$, the multiplicative rate of change is $b$. Given two points $(x_1,y_1)$ and $(x_2,y_2)$ on the exponential function, $b=\frac{y_2}{y_1}$ when $x_2=x_1 + 1$.

Step2: Select two points

Let's take the points $(1,4.5)$ and $(2,6.75)$ where $x_1 = 1,y_1=4.5,x_2 = 2,y_2 = 6.75$.

Step3: Calculate the multiplicative rate

$b=\frac{y_2}{y_1}=\frac{6.75}{4.5}=1.5$.