Answer:
[tex]p(t)=25000e^{1.12t}[/tex]
Step-by-step explanation:
The expression exponential growth is applied to a magnitude such that its variation in time is proportional to its value, which implies that it grows faster and faster in time, according to the equation:
[tex]f(x)=ab^{x}[/tex]
So, we can modeling an equation that describes the increasing of the population of Madison.
The town of Madison has a population of 25,000. The population is increasing by a factor of 1.12 each year.
[tex]p(t)=p(0)e^{rt}[/tex]
Where p(t) is the population increase in a t years, p(0) is the initial population, r is the increasing factor, and t the amount of years elapsed.
So, we obtain:
[tex]p(t)=25000e^{1.12t}[/tex]
