( a ) From the graph the value of copier after 5 years will be $ 6000.
( b ) The copier Machine will be worth $ 12000 after 3 years.
( c ) Considering the two points on the given graph as,
[tex]\begin{gathered} (x_1,y_1)\text{ = \lparen5,6000\rparen } \\ (x_2,y_2)\text{ = \lparen3,12000\rparen} \end{gathered}[/tex]
The slope of the line joining the two given points is calculated as,
[tex]\begin{gathered} Slope(m)\text{ = }\frac{x_2-x_1}{y_2-y_1} \\ Slope(m)\text{ =}\frac{12000-6000}{3-5} \\ Slope(m)\text{ =}\frac{6000}{-2} \\ Slope(m)\text{ =-3000} \end{gathered}[/tex]
( d ) The value of copier machine is decreasing by $ 3000 per year.
( e ) For the value V after t years, the equation of line is given as
[tex]V\text{ = -3000t+21000}[/tex]
