SOLUTION: A bike is purchased new for $1800. After 5 years it is sold as scrap for $200. Find a linear equation for V(t), the value of the bike at t years... Thanks in advance.

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A bike is purchased new for $1800. After 5 years it is sold as scrap for $200. Find a linear equation for V(t), the value of the bike at t years... Thanks in advance.       Log On


   

Question 460384: A bike is purchased new for $1800. After 5 years it is sold as scrap for $200.
Find a linear equation for V(t), the value of the bike at t years...

Thanks in advance.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Plot V%28t%29 on the vertical axis
Plot t on the horizontal axis
Get the equation into the form +V%28t%29+=+m%2At+%2B+b+
where m = slope
b = V intercept
Slope = ( change in V ) / ( change in t )
+m+=+%28200+-+1800%29+%2F+%285+-+0%29+
+m+=+-1600%2F5+
+m+=+-320+
So far:
+V%28t%29+=+-320t+%2B+b+
+V%280%29+=+1800+
+1800+=+-+320%2A0+%2B+b+
+b+=+1800+
The equation is +V%28t%29+=+-320t+%2B+1800+