SOLUTION: A server system was purchased by a company for $10,000. After four years it is estimated that the value of the system will be $4000. If the value in dollars V and the time the syst

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A server system was purchased by a company for $10,000. After four years it is estimated that the value of the system will be $4000. If the value in dollars V and the time the syst      Log On


   

Question 1193898: A server system was purchased by a company for $10,000. After four years it is estimated that the value of the system will be $4000. If the value in dollars V and the time the system has been in use T are related by a linear equation, find the equation that relates V and T
Answer by ikleyn(52775) About Me  (Show Source):
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A server system was purchased by a company for $10,000.
After four years it is estimated that the value of the system will be $4000.
If the value in dollars V and the time the system has been in use T are related by a linear equation,
find the equation that relates V and T
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The slope coefficient is the ratio of the value increment  of  4000-10000 = -6000  to the time increment of 4 years.


So the slope is  -6000%2F4 = -1500  (in dollars per year).


Now the value equation is  V(T) = 10000 - 1500T  dollars.    ANSWER

Solved.