Choice A is the correct answer. Use the two points to find $a$ and $b$.

1. Point 1: $6 = a(b)^1 = ab$.
2. Point 2: $54 = a(b)^3 = ab^3$.
3. Divide: $\frac{54}{6} = \frac{ab^3}{ab} = b^2 = 9$, so $b = 3$.
4. Find $a$: $a(3) = 6$, so $a = 2$.
5. Equation: $y = 2(3)^x$.

💡 Strategic Tip: Dividing equations eliminates $a$ and isolates a power of $b$.

Choice B is incorrect because$a = 2$, not 6. Choice C is incorrect because$b = 3$, not 2. Choice D is incorrect because neither value is correct.