Set 3: Exponential Functions (Advanced)

Choice A is correct. Choice A is the correct answer. Calculate the number of doubling periods. 1. Time elapsed: 2030 - 2020 = 10 years. 2. Doubling periods: $\frac{10}{2} = 5$ periods. 3. Formula: $P(t) = P_0(2)^{t/2}$. 4. Calculate: $P(10) = P_0(2)^5 = P_0(32) = 32 P_0$. Strategic Tip: $n$ doublings = multiply by $2^n$. Choice B is incorrect because this is $2^4$ (only 4 doublings). Choice C is incorrect because this assumes linear growth. Choice D is incorrect because this is $2^6$ (6 doublings).