Question

in the year 2000, Jonesville had a population of 15,000. in 2001, the population was 16,250. and in 2002, the population was 17,500. if the population grew at the same constant rate each year, make a model the describes the population growth for "n" years after the year 2000

Answer 1

Find the yearly change: 16,250 − 15,000 = 1,250 and 17,500 − 16,250 = 1,250, so the population increases by 1,250 people each year.

Model (n years after 2000):
P(n) = 15,000 + 1,250n, for n ≥ 0.

(Checks: P(1)=16,250, P(2)=17,500. If you meant a constant percentage growth instead, the two given yearly ratios are not equal, so an exponential model would not fit these data exactly.)