Set 2: Exponential Functions (Advanced)

Choice A is correct. Choice A is the correct answer. Find when users reach 100,000. 1. Formula: $U(t) = 10000(1.30)^t$, solve for $100000= 10000(1.30)^t$. 2. Simplify: $(1.30)^t = 10$. 3. Test: - $t=8$: $(1.30)^8 \approx 8.157$ (below 10) - $t=9$: $(1.30)^9 \approx 10.604$ (above 10) ✓ 4. Answer: Between 8 and 9 months. Strategic Tip: Test integer values to bracket the answer. Choice B is incorrect because growth happens faster. Choice C is incorrect because $(1.30)^6 \approx 4.83$. Choice D is incorrect because it exceeds 100,000 before month 10.