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)
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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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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
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9000
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X
100
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100
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10 000
10 000
9000
9000
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7000
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X
100
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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 9000 8000 8000 7000 7000 6000 6000 5000 5000 4000 4000 3000 3000 2000 2000 1000 1000 X 100 200 300 400 500 600 100 200 300 400 500 600 10 000 10 000 9000 9000 8000 8000 7000 7000 6000 6000 5000 5000 4000 4000 3000 3000 2000 2000 1000 1000 X 100 200 300 400 500 600 100 200 300 400 500 600 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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