Question

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?

Answer 1

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