Which of the following situations best demonstrates direct rule?
a.
local rulers have significant autonomy.
b.
local administrators make day-to-day decisions.
c.
colonial powers utilize existing political systems.
d.
colonial administrators hold government positions.

This seems more like civics than geography, so your teacher may be slightly confused as to what class she's teaching, but the answer would be D, although whoever wrote the question also seems to be confused, as the choices available are really vague and answer C doesn't really make all that much sense.

B.a pop up at ion changes in response to a change in the environment.