Set 11: Exponential Functions

Choice A is correct. Choice A is the correct answer. Evaluate at $t = 0$. 1. Substitute: $S(0) = \frac{10000}{1 + 9 e^0} = \frac{10000}{1 + 9}$. 2. Simplify: $S(0) = \frac{10000}{10} = 1000$. 3. Result: 1,000 cars sold initially. Strategic Tip: Initial value of logistic function: $\frac{K}{1+A}$. Choice B is incorrect because this is the carrying capacity (maximum). Choice C is incorrect because this calculation is wrong. Choice D is incorrect because this would be if $A = 1$, not $A = 9$.