Question

svlc algebra 1b - standard (15261)exponential decay functionsthe table represents an exponential function.| $x$ | $y$ || --- | --- || 1 | 2 || 2 | $\frac{2}{5}$ || 3 | $\frac{2}{25}$ || 4 | $\frac{2}{125}$ |what is the multiplicative rate of change of the function?options:5$\frac{1}{5}$$\frac{2}{5}$2

Explanation:

Step1: Identify multiplicative change

Divide consecutive $y$-values:
$\frac{\frac{2}{5}}{2} = \frac{1}{5}$, $\frac{\frac{2}{25}}{\frac{2}{5}} = \frac{1}{5}$, $\frac{\frac{2}{125}}{\frac{2}{25}} = \frac{1}{5}$

Step2: Confirm constant rate

All ratios equal $\frac{1}{5}$, so this is the multiplicative rate of change.

Answer:

$\frac{1}{5}$