Answer:
The required is the multiplicative rate of change.
The correct answer is the second option 2.5
Step-by-step explanation:
The given function has the form of the exponential function
The general equation of the exponential function [tex]y=c * r^x[/tex]
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) ⇒∴ [tex]2=c * r^0[/tex] ⇒ c = 2
By using the point (1,5) ⇒∴ [tex]5=2 * r^1[/tex] ⇒ r = 5/2 = 2.5
Check the answer using the other points
If x = 2 ⇒⇒⇒ [tex]y=2 * 2.5^2 = 12.5[/tex]
If x = -1 ⇒⇒⇒ y=2 * 2.5^(-1) = 0.8
So, the multiplicative rate of change = 2.5
