Set 16: Exponential Functions (Advanced)

Explanation

Answer: A

Which table shows data that can be modeled by an exponential function?

Table X:

$t$	$P$
0	100
1	150
2	225

Table Y:

$t$	$Q$
0	100
1	150
2	200

Table X only

✓ Correct

Table Y only

Both tables

Neither table

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Check for constant ratios. 1. Table X: Ratios $\frac{150}{100} = 1.5$ and $\frac{225}{150} = 1.5$ (constant) → Exponential ✓ 2. Table Y: Differences $150 -100=50$ and $200 -150=50$ (constant) → Linear ✗ 3. 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.

Key Steps:

•

The correct answer is Table X only

Why others are wrong:

B: Choice B 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 16: Exponential Functions (Advanced)

Detailed Explanation

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