A small business buys a computer for $2700. 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 2500 2000 2000 1500 1500 1000 1000 500 500 10 4 6 10 V 2500 2500 2000 2000 1500 1500 1000 1000 500 500 10 2. 4 6. 8 10

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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(c) What does the slope of the graph represent?
O the initial value of the computer
the value of the computer after 4 years
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?
O the initial value of the computer
the value of the computer after 4 years
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
(d) Find the depreciated value of the computer 3 years from the date of purchase.
$4
Transcribed Image Text:(c) What does the slope of the graph represent? O the initial value of the computer the value of the computer after 4 years 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? O the initial value of the computer the value of the computer after 4 years 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 (d) Find the depreciated value of the computer 3 years from the date of purchase. $4
A small business buys a computer for $2700. 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
2500
2000
2000
1500
1500
1000
1000
500
500
6.
8
10
4
8
10
V
V
2500
2500
2000
2000
1500
1500
1000
1000
500
500
8.
10
4
8
10
Ox
Transcribed Image Text:A small business buys a computer for $2700. 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 2500 2000 2000 1500 1500 1000 1000 500 500 6. 8 10 4 8 10 V V 2500 2500 2000 2000 1500 1500 1000 1000 500 500 8. 10 4 8 10 Ox
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