Set 13: Exponential Functions (Intermediate)

Explanation

Answer: B

Which table represents an exponential function rather than a linear function?

Table I:

$x$	$y$
0	5
1	10
2	15

Table II:

$x$	$y$
0	5
1	10
2	20

Table I only

Table II only

✓ Correct

Both tables

Neither table

Detailed Explanation

Choice B is correct. Choice B is the correct answer. Check for constant differences vs constant ratios. 1. Table I: Differences are $10 -5=5$ and $15 -10=5$ (constant). This is linear. 2. Table II: Ratios are $\frac{10}{5}=2$ and $\frac{20}{10}=2$ (constant). This is exponential. 3. 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.

Key Steps:

•

The correct answer is Table II only

Why others are wrong:

A: Choice A is incorrect and may result from a calculation error.

C: Choice C is incorrect and may result from a calculation error.

D: Choice D is incorrect and may result from a calculation error.

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Set 13: Exponential Functions (Intermediate)

Detailed Explanation

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