the population of a town was 14000 in 2010

Answer 1

there^ is probably some missing information, such as the population in 2000. If for example 2000 had 10,000 population and the growth rate were exponential, then

14,000 =10,000e^10t would be an equation where you can solve for the growth rate r, given t=10 or the number of years since 2000.

14/10 = e^10t

take natural logs

ln(7/5 = 10r

r = ln(7/5)/10 = 3.365 = about 3.4% annual growth rate

then

A =Pe^.034t can be used to find the estimated population in any year

also,

population of a town in 2010 = 14000 is either false, a rough estimate or rounded off to 2 significant digits

Odds are the population is anywhere between 13,500 and 14,500 and someone rounded it off to the nearest thousandth. Or it's just an estimate which could be even further off. The probability of exactly 14,000 in any town is close to the odds of getting killed by lightening. So, in some sense the statement is false. It may be true that at some point in time during a 12 month period that the population was exactly 14,000, but the very previous day it was less and the next day more, several babies were probably born on the day when population was exactly 14,000. Without specifying the particular day in 2010, such as maybe April 10 or March 14, it's not clear if 14,000 is just an average for the year, but again a rounded off average or estimate

1502 US towns are 10,000 to 24,000 population

19,501 total US towns, cities or villages 14,000 population narrows the location down, eliminating 95% or more of possible places in the US