Set 5: Exponential Functions (Advanced)

Choice A is correct. Choice A is the correct answer. Calculate the ratio. 1. Ratio: $\frac{h(20)}{h(10)} = \frac{15(1.08)^{20}}{15(1.08)^{10}} = (1.08)^{10}$. 2. Estimate: $(1.08)^{10} \approx 2.16 \approx 2.2$. 3. Conclusion: $h(20)$ is about 2.2 times larger. Strategic Tip: For ratios, factors divide out, leaving a power of the base. Choice B is incorrect because the difference in inputs (10) is not the multiplication factor. Choice C is incorrect because this is just one step, not 10 steps. Choice D is incorrect because $(1.08)^{10} \neq 2$ exactly.