Choice A is the correct answer. Evaluate at $x = -1$.

1. Substitute: $f(-1) = 200(3)^{-1}$.
2. Negative Exponent: $(3)^{-1} = \frac{1}{3}$.
3. Calculate: $200 \cdot \frac{1}{3} = \frac{200}{3}$.

💡 Strategic Tip: Negative exponent: $b^{-x} = \frac{1}{b^x}$.

Choice B is incorrect because negative exponent doesn't make the result negative. Choice C is incorrect because this suggests subtraction ($200 - 3$). Choice D is incorrect because this is $200 \times 3$, not division.