Answer:
The option D represents an interval with a positive average rate of change.
Step-by-step explanation:
Let  , the average rate of change on the interval
, the average rate of change on the interval ![[a,b]](https://tex.z-dn.net/?f=%5Ba%2Cb%5D) is represented by the definition of the secant line:
 is represented by the definition of the secant line:
 (1)
 (1)
Where:
 ,
,  - Lower and upper bounds, dimensionless.
 - Lower and upper bounds, dimensionless. 
 ,
,  - Function evaluated at lower and upper bounds, dimensionless.
 - Function evaluated at lower and upper bounds, dimensionless. 
Now we proceed to check each option: 
A.  ,
, 


B.  ,
, 


C.  ,
, 


D.  .
. 


The option D represents an interval with a positive average rate of change.