1
advanced-math

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

C

2000

D

12240

Correct Answer: B

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.