In 2006, the population of a certain country per square mile of land was 81. in 2014, the persons per square mile was 85.24. assume the relationship between years, x, and persons per square mile,y, is a linear relationship

Assuming a linear relationship we can express the population density as a function of the year.

d(y)=m(y-2006)+b  

m=(d2-d1)/(y2-y1)=(85.24-81)/(2014-2006)

m=4.24/8

m=0.53

d(y)=0.53(y-2006)+b, using point (2014,85.24) we can solve for b

85.24=0.53(8)+b

85.24=4.24+b

81=b so

d(y)=0.53(y-2006)+81  (so this a the population density (persons per mi^2 as a function a year)

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Step-by-step explanation: