Question

What is the multiplicative rate of change of the function

Answer 1

Answer:

(A)  $\frac{1}{5}$

Step-by-step explanation:

The multiplicative Rate of change refers to the fixed constant which when multiplied to the output will give the  increase or decrease in the next output value.

Now, We have the table of values as:

 x                 y

 $1$              $2$

$2$               $\frac{2}{5}$

 $3$               $\frac{2}{25}$

$4$                $\frac{2}{125}$

Hence, we see that when  $\frac{1}{5}$  is multiplied to the output value we obtain the next output value.

$2{\times}{\frac{1}{5}}={\frac{2}{5}}$

${\frac{2}{5}}{\times}{\frac{1}{5}}={\frac{2}{25}$

${\frac{2}{25}}{\times}{\frac{1}{5}}={\frac{2}{125}$

Hence, the multiplicative Rate of change is  $\frac{1}{5}$.

Therefore, option A is correct.

Answer 2

The answer would be 1/5.

My work:

2/1 * 1/5 = 2/5

2/5 * 1/5 = 2/25

2/25 * 1/5 = 2/125