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September 20th, 2013, 06:27 AM  #1 
Newbie Joined: Sep 2013 Posts: 22 Thanks: 0  Help With Linear Equation Word Problem
I am having a really hard time understanding how this is done since the chapter we are on has to do with the slopeintercept form y=mx+b. This is the problem as follows: 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. I kind of understand how I could graph this into a line and then find a yintercept point and then create an equation but at the same time I don't. Can anyone break it down for me or help me by pushing me in the right direction. I have a ton more of the these word problems and I'm sure if I can understand this one I can get all the rest done on my own. Thanks! 
September 20th, 2013, 06:38 AM  #2 
Senior Member Joined: Jun 2013 From: London, England Posts: 1,316 Thanks: 116  Re: Help With Linear Equation Word Problem
You are given that V and t have a linear relationship. The first step, therefore, is to let: V(t) = mt + b (1) This is the general form of a linear equation. Next, you are given V for two values of t: When t = 0, V(0) = $7500 When t = 5, V(5) = $4500 So, if we put t = 0 into the equation (1) above, we get: V(0) = b Therefore b = 7500 Next we put t = 5 and v(5) = 4500 into the equation at (1) to get: 4500 = 5m + 7500 Therefore 5m = 3000, so m = 600 So, the equation is: V(t) = 600t + 7500 
September 20th, 2013, 12:55 PM  #3 
Newbie Joined: Sep 2013 Posts: 22 Thanks: 0  Re: Help With Linear Equation Word Problem
Ahhhhh. Makes much more sense now that you put it in those words. This online courses etext is extremely vague and really only has examples but nothing of the word problems I've ran into in the HW assignments. I appreciate the help the rest should be easy peasy now.


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