3
advanced-mathWhich table shows exponential growth with a base of 4?
Table A:
| 0 | 2 |
| 1 | 8 |
| 2 | 32 |
Table B:
| 0 | 4 |
| 1 | 8 |
| 2 | 12 |
A
Table A
B
Table B
C
Both tables
D
Neither table
Correct Answer: A
Choice A is the correct answer. Check the growth factor for each table.
- Table A: Ratio and → Base is 4 ✓
- Table B: Difference is constant (, ) → Linear, not exponential.
- Equation for A: .
💡 Strategic Tip: Exponential = constant ratio. Linear = constant difference.
Choice B is incorrect because Table B is linear. Choice C is incorrect because only one table is exponential. Choice D is incorrect because Table A is exponential.