Respuesta :
Answer:
63,750
Step-by-step explanation:
#Calculate the rate of change per year:
[tex]\bigtriangleup=\frac{2012 \ pop- 2010\ pop}{2012-2010}\\\\=\frac{51250-4500}{2}\\\\=3125[/tex]
The population increasing by a constant of 3125 per year.
-Let x be the time in years
-The general form of a linear equation is
[tex]y=mx+c, c=45000\\\\\therefore y=mx\\\\y(x)=3125x+45000[/tex]
The population in 2016 is therefore predicted as:
[tex]y=mx+c\\\\y(2016-2010)=3125x+45000\\\\y(6)=3125\times 6+45000\\\\=63750[/tex]
Hence, the population in 2016 is 63,750