Set 7: Exponential Functions (Advanced)

Choice A is correct. Choice A is the correct answer. Apply the tripling pattern. 1. Periods: $\frac{30}{10} = 3$ periods of tripling. 2. Formula: $P(t) = 150(3)^{t/10}$ where $t = 30$. 3. Calculate: $P(30) = 150(3)^3 = 150(27) = 4,050$. Strategic Tip: 3 triplings = multiply by $3^3 = 27$. Choice B is incorrect because this is after 2 triplings (20 years). Choice C is incorrect because this is after only 1 tripling (10 years). Choice D is incorrect because this would be after 4 triplings.