ok so let's eliminte some options
A populatin is not changing
this is untrue since the graph is growng (going up)
B. many factors to controll
we don't see a bumb or nick in the curve so I don't think that there is controll (exponential function)
C. population is growing unchecked.
I would agree with this option since it is just a curve without any bumps or nicks or going downs or wiggles
D. increased till it reached its carring capacity
if this was true, the graph would flatline at a certain point. this is not the case
the answer is C