The manager of a furniture factory finds that it costs $2200 to produce 100 chairs in one day and $4400 to produce 300 chairs in one day. (a) Assuming that the relationship between cost and the number of chairs produced is linear, find a linear function C that models the cost of producing x chairs in one day. C(x) = | (b) Draw a graph of C.
The manager of a furniture factory finds that it costs $2200 to produce 100 chairs in one day and $4400 to produce 300 chairs in one day. (a) Assuming that the relationship between cost and the number of chairs produced is linear, find a linear function C that models the cost of producing x chairs in one day. C(x) = | (b) Draw a graph of C.
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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(a) Assuming that the relationship between cost and the number of chairs produced is linear, find a linear function C that models the cost of producing x chairs in one day.
C(x)
(b) Draw a graph of C.
C
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What is the slope of this line?
(c) At what rate does the factory's cost increase for every additional chair produced?
per chair
O X"
Transcribed Image Text:The manager of a furniture factory finds that it costs $2200 to produce 100 chairs in one day and $4400 to produce 300 chairs in one day.
(a) Assuming that the relationship between cost and the number of chairs produced is linear, find a linear function C that models the cost of producing x chairs in one day.
C(x)
(b) Draw a graph of C.
C
10 000
10 000
9000
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8000
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7000
7000
6000
6000
5000
5000
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X
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9000
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X
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500
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What is the slope of this line?
(c) At what rate does the factory's cost increase for every additional chair produced?
per chair
O X
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