5
advanced-mathWhich table shows data that can be modeled by an exponential function?
Table X:
| 0 | 100 |
| 1 | 150 |
| 2 | 225 |
Table Y:
| 0 | 100 |
| 1 | 150 |
| 2 | 200 |
A
Table X only
B
Table Y only
C
Both tables
D
Neither table
Correct Answer: A
Choice A is the correct answer. Check for constant ratios.
- Table X: Ratios and (constant) → Exponential ✓
- Table Y: Differences and (constant) → Linear ✗
- Conclusion: Only Table X is exponential.
💡 Strategic Tip: Exponential = constant ratio. Linear = constant difference.
Choice B is incorrect because Table Y is linear. Choice C is incorrect because only one is exponential. Choice D is incorrect because Table X is exponential.