A

According to Faraday's Law of Electromagnetic Induction:
Step 1: Understand the concept. Faraday's law states that a change in magnetic flux through a coil induces an electromotive force (e.m.f.) in the coil.
Step 2: Identify the key points of the law. The law can be summarized in two parts: 1) The magnitude of the induced e.m.f. is proportional to the rate of change of flux and 2) The induced current (or e.m.f.) always opposes the change in magnetic flux that produces it, which is known as Lenz's law.
Step 3: Evaluate the options.
Option A is correct because it correctly reflects Lenz's law, which states that the direction of the induced current is such that it opposes the change in magnetic flux that produced it.
Option B describes the dependence of induced e.m.f. on the rate of change of magnetic flux but does not mention the directional aspect.
Option C inaccurately describes the induced e.m.f. instead of the current as opposing the change.
Option D is not applicable since option A is correct.
Thus, the correct answer is A.