5

Set 16: Exponential Functions (Advanced)

Explanation

Answer: B

The population of a town is modeled by P(t)=12000(1.02)tP(t) = 12000(1.02)^t. What is the initial population?

A.

1.02

B.

12000

✓ Correct
C.

2000

D.

12240

Detailed Explanation

Choice B is correct. Choice B is the correct answer. The initial value is the coefficient aa. 1. Identify: In P(t)=abtP(t) = ab^t, aa is the starting amount. 2. Locate: a=12000a = 12000. Strategic Tip: The number before the parenthesis is the starting value. Choice A is incorrect because 1.02 is the growth factor. Choice D is incorrect because 12240 is the population after 1 year.

Key Steps:

The correct answer is 12000

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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