A small business buys a computer for $2500. 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 relates V (in dollars) and t (in yr). (b) Sketch a graph of this linear equation. Ox 2500 2000 1500) 1000 500 V 2500 2000 1500 1000 500 2 4 6 8 10 2500 2000 1500 1000 500 V 2500 2000 1500 1000 500 2 ▬▬▬▬▬▬▬▬▬▬▬▬ 4 6 8 10

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section1.CT: Chapter Test
Problem 8CT
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(c) What does the slope of the graph represent?
O the initial value of the computer
O the value of the computer after 4 years
O the value of the computer after 1 year
O how much the computer has depreciated after 1 year
O the rate of depreciation of the computer
What does the V-intercept of the graph represent?
the initial value of the computer
O the value of the computer after 4 years
O the value of the computer after 1 year
O how much the computer has depreciated after 1 year
O the rate of depreciation of the computer
O
(d) Find the depreciated value of the computer 3 years from the date of purchase.
$
co
10
Transcribed Image Text:(c) What does the slope of the graph represent? O the initial value of the computer O the value of the computer after 4 years O the value of the computer after 1 year O how much the computer has depreciated after 1 year O the rate of depreciation of the computer What does the V-intercept of the graph represent? the initial value of the computer O the value of the computer after 4 years O the value of the computer after 1 year O how much the computer has depreciated after 1 year O the rate of depreciation of the computer O (d) Find the depreciated value of the computer 3 years from the date of purchase. $ co 10
A small business buys a computer for $2500. 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 relates V (in dollars) and t (in yr).
(b) Sketch a graph of this linear equation.
V
2500
2000
1500
1000
Ox
500
2500
2000
1500
1000
500
2
2
4
4
6
6
8
8
10
10
t
t
V
2500
2000
1500
1000
500
2500
2000
1500
1000
500
2
2
4
4
6
6
8
8
10
10
t
t
Transcribed Image Text:A small business buys a computer for $2500. 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 relates V (in dollars) and t (in yr). (b) Sketch a graph of this linear equation. V 2500 2000 1500 1000 Ox 500 2500 2000 1500 1000 500 2 2 4 4 6 6 8 8 10 10 t t V 2500 2000 1500 1000 500 2500 2000 1500 1000 500 2 2 4 4 6 6 8 8 10 10 t t
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