(10) A small business buys a the value of the co business uses linear time. This

Question

(10) A small business buys a the value of the co business uses linear time. This means that if V is the value of the computer at time t,t( computer for $2900 at time tO.After t 4 years. mputer is expected to be $200. For accounting purposes t depreciation to assess the value of the computer ai equation is used to relate V and t, and ordered pairs are o the form (r,v) . Two ordered pairs relating time and Value are (0, $2900) and (4, $200). Use the slope of the graph given information, and find the slope of the line. What does the represent? What does the v-intercept (0, $2900) represent? Find the depreciated value V of the computer after t = 3 years from the da purchase.

Explanation / Answer

1) two oredered pairs are ( 0, 2900 ) and ( 4 , 200 )

slope = ( 200 - 2900) / (4 -0 )

slope = - 675

slope here reprsents value of computer is depreciating at a rate of $ 675 per year

b) y intercept is ( 0, $ 2900 )

interprets that initial value of computer was $ 2900

c) depreciated value after 3 years is

V = -675 t + 2900

V = -675(3) + 2900

V = $ 875

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