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advanced-mathWhich table represents an exponential function rather than a linear function?
Table I:
| 0 | 5 |
| 1 | 10 |
| 2 | 15 |
Table II:
| 0 | 5 |
| 1 | 10 |
| 2 | 20 |
A
Table I only
B
Table II only
C
Both tables
D
Neither table
Correct Answer: B
Choice B is the correct answer. Check for constant differences vs constant ratios.
- Table I: Differences are and (constant). This is linear.
- Table II: Ratios are and (constant). This is exponential.
- Conclusion: Only Table II is exponential.
💡 Strategic Tip: Exponential functions have constant ratios between consecutive terms, while linear functions have constant differences.
Choice A is incorrect because Table I shows constant differences (linear). Choice C is incorrect because only one table is exponential. Choice D is incorrect because Table II is exponential.