Exponential Decay Data

8
advanced-math

Which table shows exponential decay?

A

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

B

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

C

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

D

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

Correct Answer: A

Choice A is the correct answer. Check for a constant ratio <1< 1.

  1. Check A: 50/100=0.550/100 = 0.5, 25/50=0.525/50 = 0.5. Ratio is 0.5 (Decay).
  2. Check B: 150/100=1.5150/100 = 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.

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