SOLUTION: A school district purchases a high-volume printer, copier, and scanner for $25,000. 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 $25,000. After 10 years, the equipment will have to be replaced. Its value at that time is expected to be      Log On


   

Question 263588: A school district purchases a high-volume printer, copier, and scanner for $25,000. 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.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let the time in years after the equipment
was bought = t, for example, t+=+1
would be 1 year after it was bought
Let V = the value of the equipment
at any point in time
When t+=+0,V%5B0%5D+=+25000
When t+=+10,V%5B10%5D+=+2000
The equation to use is

%28V+-+25000%29%2F%28t+-+0%29+=+%282000+-+25000%29%2F%2810+-+0%29
%28V+-+25000%29%2Ft+=+-23000%2F10
V+-+25000+=+-2300t
V+=+-2300t+%2B+25000 answer
I'll plot this (V is in thousands of dollars)
+graph%28+500%2C+600%2C+-2%2C+12%2C+-2%2C+30%2C+-2.3x+%2B+25%29+