SOLUTION: A copier was purchased by a company for $7,500. After 5 years it is estimated that the value of the copier will be $4,500. If the value in dollars V and the time the copier has bee

Algebra ->  Graphs -> SOLUTION: A copier was purchased by a company for $7,500. After 5 years it is estimated that the value of the copier will be $4,500. If the value in dollars V and the time the copier has bee      Log On


   



Question 1018036: A copier was purchased by a company for $7,500. After 5 years it is estimated that the value of the copier will be $4,500. If the value in dollars V and the time the copier has been in use t are related by a linear equation, find the equation that relates V and t.
Thank you in advance for any help answering this problem.
Daniel H. Jack

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Plot +V+ on the vertical axis
Plot +t+ on the horizontal axis
You are given 2 points on the line:
( 0, 7500 ) and
( 5, 4500 )
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Use the general point-slope formula:
+%28+V+-+4500+%29+%2F+%28+t+-+5+%29+=+%28+7500+-+4500+%29+%2F+%28+0+-+5+%29+
Multiply both sides by +-5%2A%28+t+-+5+%29+
+-5%2A%28+V+-+4500+%29+=+3000%2A%28+t+-+5+%29+
+-5V+%2B+22500+=+3000t+-+15000+
+-5V+=+3000t+-+37500+
Dividfe both sides by +-5+
+V+=+-600t+%2B+7500+
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check answer:
( 0,7500 )
+V+=+-600t+%2B+7500+
7500+=+-600%2A0+%2B+7500+
+7500+=+7500+
and
( 5, 4500 )
+V+=+-600t+%2B+7500+
+4500+=+-600%2A5+%2B+7500+
+4500+=+-3000+%2B+7500+
+4500+=+4500+
OK