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.
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.......
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.......