Answer:
The required is the multiplicative rate of change.
The correct answer is the second option 2.5
Explanation:
The given function has the form of the exponential function
The general equation of the exponential function

Wher c is constant and r is the multiplicative rate of change.
Using the given points to get the values of c and r
By using the point (0,2) ⇒∴
⇒ c = 2
By using the point (1,5) ⇒∴
⇒ r = 5/2 = 2.5
Check the answer using the other points
If x = 2 ⇒⇒⇒
If x = -1 ⇒⇒⇒ y=2 * 2.5^(-1) = 0.8
So, the multiplicative rate of change = 2.5