2
advanced-math

Which function has a decay factor of 0.9?

A

y=0.9(5)xy = 0.9(5)^x

B

y=5(0.9)xy = 5(0.9)^x

C

y=5(1.9)xy = 5(1.9)^x

D

y=5(0.1)xy = 5(0.1)^x

Correct Answer: B

Choice B is the correct answer. The base must be 0.9.

  1. Identify: We need b=0.9b = 0.9.
  2. Check Options: Only Choice B has 0.90.9 inside the parenthesis.

💡 Strategic Tip: The decay factor is simply the base bb.

Choice A is incorrect because the base is 5. Choice D is incorrect because the base is 0.1.

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Set 24: Exponential Functions 24