2

Set 16: Exponential Functions (Intermediate)

Explanation

Answer: B

A population declines by 1.2% per year. What is the decay factor?

A.

0.88

B.

0.988

✓ Correct
C.

1.012

D.

0.012

Detailed Explanation

Choice B is correct. Choice B is the correct answer. Subtract rate from 1. 1. Identify Rate: r=1.2%=0.012r = 1.2\% = 0.012. 2. Calculate Factor: b=10.012=0.988b = 1 - 0.012 = 0.988. Strategic Tip: 1.0000.012=0.9881.000- 0.012 = 0.988. Choice A is incorrect because it subtracts 0.12 (12%). Choice C is incorrect because it represents growth.

Key Steps:

The correct answer is 0.988

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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