Question

a town has a population of 17,900 and shrinks at a rate of 9% every year. v represents the towns population after 5 years?
answer
\\( p = 17,900(1 - 0.09)^5 \\)
\\( p = 17,900(1 - 0.09) \\)
\\( p = 17,900(0.09)^5 \\)
\\( p = 17,900(1 - 0.9)^5 \\)

Explanation:

Step1: Recall decay formula

The formula for exponential decay is $P = P_0(1 - r)^t$, where $P_0$ is initial population, $r$ is decay rate, $t$ is time.

Step2: Identify given values

$P_0 = 17900$, $r = 0.09$, $t = 5$

Step3: Substitute values into formula

$P = 17900(1 - 0.09)^5$

Answer:

$P = 17,900(1 - 0.09)^5$