SOLUTION: A school district purchases a high-volume printer, copier, and scanner for $14,000. After 10 years, the equipment will have to be replaced. Its value at that time is expected to be

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A school district purchases a high-volume printer, copier, and scanner for $14,000. After 10 years, the equipment will have to be replaced. Its value at that time is expected to be      Log On


   

Question 837795: A school district purchases a high-volume printer, copier, and scanner for $14,000. After 10 years, the equipment will have to be replaced. Its value at that time is expected to be $2000. Write a linear equation giving the value V of the equipment during the 10 years it will be in use. (Let t be the number of years after purchase.)
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Plot value, V, on the vertical axis
and time, t on the horizontal axis
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The general form of the linear equation
will be +V+=+m%2At+%2B+b+
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To make the plot easier, I will say that
V is in thousands of dollars
You can solve for b because you know
that when +t+=+0+, the value, +V%5B0%5D+=+14+
+V%5B0%5D+=+m%2A0+%2B+b+
+b+=+V%5B0%5D+
+b+=+14+
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The slope m is ( change in V ) / ( change in t )
+m+=+%28+2+-+14+%29+%2F+%28+10+-+0+%29+
+m+=+-12%2F10+
+m+=+-1.2+
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So, the equation is:
+V+=+-1.2t+%2B+14+ ( V is in thousands of dollars )
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Here's the plot:
+graph%28+400%2C+400%2C+-2%2C+15%2C+-1%2C+16%2C+-1.2x+%2B+14+%29+