Question

the town of madison has a population of 25,000. the population is increasing by a factor of 1.12 each year. write a function that gives the population ( p(t) ) in madison ( t ) years from now. do not use commas in your answer. ( p(t) = square )

Explanation:

Step1: Identify exponential growth form

Exponential growth function: $P(t) = P_0 \cdot r^t$, where $P_0$ is initial population, $r$ is growth factor.

Step2: Substitute given values

$P_0=25000$, $r=1.12$. Substitute into formula:
$P(t) = 25000 \cdot 1.12^t$

Answer:

$P(t) = 25000 \cdot 1.12^t$