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A small business buys a computer for $3200. After 4 years the value of the computer is expected to be $200. For accounting purposes the business uses linear depreciation to assess the value of the computer at a given time. This means that if V is the value of the computer at time t, then a linear equation is used to relate V and t.

a. Find a linear equation that that relates V and t.

 Jun 11, 2014

Best Answer 

 #1
avatar+129852 
+5

OK...after 4 years, the computer loses $3000 of its original value

So...the slope of our equation repersents the change in value over the change in time, i.e.,

-3000/4    .....  so we have...an the original value is just expressed as (0, 3200) in terms of (t, v) this can be seen as the "y intercept" on the "t-v" axis  .... so we have

v = -(3000/4)t + 3200

Note that...the machine will become fully depreciated in the 5th year.......

 Jun 12, 2014
 #1
avatar+129852 
+5
Best Answer

OK...after 4 years, the computer loses $3000 of its original value

So...the slope of our equation repersents the change in value over the change in time, i.e.,

-3000/4    .....  so we have...an the original value is just expressed as (0, 3200) in terms of (t, v) this can be seen as the "y intercept" on the "t-v" axis  .... so we have

v = -(3000/4)t + 3200

Note that...the machine will become fully depreciated in the 5th year.......

CPhill Jun 12, 2014
 #2
avatar+2353 
0

reinout-g Jun 12, 2014

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