we know that
Looking at the table
interval 5 to 6 --------> average rate of change is -11
the difference between consecutive intervals is -2
so
6 to 7 ---------> -11-2=-13
7 to 8 ---------> -13-2=-15
8 to 9 ------> -15-2=-17
9 to 10 -----> -17-2=-19
therefore
The answer is option A