Question

The Michigan veteran population in 1990 was 14.2% and in 2000 was 12.4%.

Answer 1

Let x- intercept represents time

Let y-intercept represents population

Let 1990 represent initial year

Points are (0,14.2)(10,12.4)

slope m= $\frac{y2-y1}{x2-x1}$

= $\frac{12.4-14.2}{10-0} =\frac{-1.8}{10} = -0.08$

General linear equation

y= mx+b --------------(i)

here m is slope and b is intercept

plug the 1st point in equation

14.2= -0.018(0) + b

b=14.2

y= 0.018x + 14.2

replace y with p(t) and x with t

p(t) = -0.018t + 14.2