Set 4: Exponential Functions

Explanation

Answer: A

Which table shows exponential decay?

$Exponential Decay Data$

(0, 100), (1, 50), (2, 25)

✓ Correct

(0, 100), (1, 150), (2, 225)

(0, 100), (1, 90), (2, 80)

(0, 10), (1, 20), (2, 30)

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Check for a constant ratio $< 1$ . 1. Check A: $50 /100 = 0.5$ , $25 /50 = 0.5$ . Ratio is 0.5 (Decay). 2. Check B: $150 /100 = 1.5$ . Ratio is 1.5 (Growth). 3. Check C: Subtracts 10 each time (Linear). 4. Check D: Adds 10 each time (Linear). Strategic Tip: Decay means getting smaller by multiplication/division. Choice B is incorrect because it is growth.

Key Steps:

•

The correct answer is (0, 100), (1, 50), (2, 25)

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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