The population of Detroit, Michigan was 951,300 in 2000. Detroit has been experiencing a population decline of 1.4% per year since 2000. What is the projected population for 2005 in Detroit?

1 Answer
Mar 3, 2016

#886,548#

Explanation:

The formula that describes this population's variation is given by:
#P=P_o*(1-i)^(Delta t)#
Where
#P_0# is the population in a referencial time (#t_0#)
#P# is the population in a time #t# around #t_0#
#i# is the rate of fhe population growth
#Delta t=t-t_0# is the difference between a time of interest and the referencial time

In the problem
#P_0=951,300#
#i=-1.4%=-0.014#
#Delta t=2005-2000=5#

So

#P=951.300*(1-0.014)^5=951,300*0,986^5=886,548#