Presumably, 
. In that case,
(A)
The average rate of change over the interval
is
and over
, it's
(B)
, i.e. the average rate of change over the second interval is 25 times higher. That's to be expected; 
is an exponential function. As 
gets larger, the rate of change of 
gets larger too.
(A)
The average rate of change over the interval
and over
(B)