The correct answer is: C. varies slightly.
The graph of current gain versus collector current shows that the current gain is not constant, but varies slightly with collector current. This is because the transistor is a nonlinear device, and its characteristics change with operating conditions.
Option A is incorrect because the current gain does not vary enormously. Option B is incorrect because the current gain is not constant. Option D is incorrect because the current gain is not equal to the collector current divided by the base current. Option E is incorrect because the current gain does vary slightly.