Set 11: Exponential Functions

Choice A is correct. Choice A is the correct answer. Find the growth factor per day. 1. Formula: $P(t) = P_0(b)^t$ where $P_0 = 10$, $P(3) = 80$. 2. Set up: $80= 10(b)^3$. 3. Solve: $b^3 = 8$, so $b = 2$. 4. Verification: $10(2)^3 = 10(8) = 80$ ✓ Strategic Tip: To find base $b$, isolate $b^t$ and take the appropriate root. Choice B is incorrect because $10(3)^3 = 270 \neq 80$. Choice C is incorrect because this is $b^3$, not $b$. Choice D is incorrect because this is the difference, not the factor.