The population of a town can be modeled by P = 22,000 + 125t, where P represents the population and the t represents the number of years since 2000. How many years will the population be 26,000?

Given that the population can be modeled by P=22000+125t, to get the number of years after which the population will be 26000, we proceed as follows:

P=26000

substituting this in the model we get:

26000=22000+125t

solving for t we get:

t=4000/125

t=32

therefore t=32 years

This means it will take 32 years for the population to be 32 years. Thus the year in the year 2032