Question

this table represents an exponential function
what is the multiplicative rate of change of the function?
0.75
0.25
0.5
0.2

Explanation:

Step1: Define multiplicative rate

The multiplicative rate of change for an exponential function is the ratio of consecutive $y$-values.

Step2: Calculate first ratio

Divide $y_2$ by $y_1$:
$\frac{0.125}{0.25} = 0.5$

Step3: Verify with next ratio

Divide $y_3$ by $y_2$:
$\frac{0.0625}{0.125} = 0.5$

Step4: Confirm final ratio

Divide $y_4$ by $y_3$:
$\frac{0.03125}{0.0625} = 0.5$

Answer:

0.5