What is the rate of change of the function described in the table? a) 12/5 b)5 c)25/2 d) 25

b)5

Step-by-step explanation:

This table does not describe a linear relationship.  This is because the table does not have a constant rate of change; between the first two points, the function changes by

(1/2 - 1/10)/(0--1) = (5/10 - 1/10)/(1) = 5/10 - 1/10 = 4/10 = 2/5

Between the second two points, the function changes by

(5/2-1/2)/(1-0) = (4/2)/1 = 4/2 = 2

Comparing the first two y-coordinates, we have 1/10 and 1/2 = 5/10.  This is the result of multiplication by 5.

Comparing the second two y-coordinates, we have 1/2 and 5/2.  This is the result of multiplication by 5.

Comparing the rest of the y-coordinates, we can see that each time, the y-coordinate is multiplied by 5.  This means the rate of change is 5.

3 is greater then both of those numbers