what is the multiplicative rate of change of the function described in the table ?

Hence, the multiplicative Rate of change is:
5
The multiplicative Rate of change refers to the fixed constant which when multiplied to the output will lead to increase/decrease in the next output value.
We have the table of values as:
x y
-1 1/10
0 1/2
1 5/2
2 25/2
3 125/2
Hence, we see that when 5 is multiplied to the output value we obtain the next output value.
i.e.
1/10×5=1/2
1/2×5=5/2
5/2×5=25/2
25/2×5=125/2
Hence, the multiplicative Rate of change is:
5