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## The manager of a furniture factory finds that it costs $3000 to manufacture 80 chairs in one day and $4800 to produce 280 chairs in one day.

Question

The manager of a furniture factory finds that it costs $3000 to manufacture 80 chairs in one day and $4800 to produce 280 chairs in one day. (a) Express the cost C (in dollars) as a function of the number of chairs x produced, assuming that it is linear. C

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Mathematics
3 years
2021-09-03T07:12:49+00:00
2021-09-03T07:12:49+00:00 1 Answers
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## Answers ( )

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Answer:C = 9x +2280

Step-by-step explanation:The 2-point form of the equation for a line can be a place to start.

y = (y2 -y1)/(x2 -x1)(x -x1) +y1

C = (4800 -3000)/(280 -80)(x -80) +3000 . . . . . use given values

C = 1800/200(x -80) +3000 . . . . simplify some

C = 9x -720 +3000 . . . . eliminate parentheses

C = 9x +2280