Set 6: Exponential Functions

Choice B is correct. Choice B is the correct answer. Extend the patterns and compare. 1. Linear: $y = 10 x + 10$ (add 10 each step). 2. Exponential: $y = 10(2)^x$ (multiply by 2 each step). 3. At $x=4$: Linear = $50$, Exponential = $160$, Difference = $110> 100$ ✓ 4. At $x=3$: Difference = $80- 40 = 40 < 100$ ✗ Strategic Tip: Exponential eventually dominates linear, but verify with calculation. Choice A is incorrect because exponential exceeds by more than 100 before $x=5$. Choice C is incorrect because it exceeds by then, but not "first". Choice D is incorrect because at $x=3$, difference is only 40.