Set 3: Exponential Functions (Intermediate)

Choice A is correct. Choice A is the correct answer. Apply the doubling pattern. 1. Time Periods: 6 hours = 3 periods of 2 hours each. 2. Formula: $V(t) = 500(2)^{t/2}$ where $t$ is hours. 3. Calculate: $V(6) = 500(2)^{6/2} = 500(2)^3 = 500(8) = 4000$. Strategic Tip: Number of doublings = $\frac{\text{total time}}{\text{doubling period}}$. Choice B is incorrect because this adds 500 three times (linear). Choice C is incorrect because this is $500\times 6$. Choice D is incorrect because this is only one doubling.