How do you write an exponential function to model each situation & solve given the population of Warren Michigan was 145,600 in 1990. If the population decreases by 1.2% each year, predict the population in 1999?

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Answer 1 · 2016-11-23T06:19:11

Population in 1999 will be #130609#

As the present population is #145,600# in 1990

As population decreases by #1.2%# i.e. by a factor of #1.2/100=0.012#,

population in 1991, one year after will be #145,600(1-0.012)#

and in 1992, it will be #145,600(1-0.012)(1-0.012)=145,600(1-0.012)^2#

or #145,600xx0.988^2#

and this in 1999, it will be #145,600xx0.988^9=145,600xx0.8970414=130609#