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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niczorrrr 4 years 2021-09-03T07:12:49+00:00 1 Answers 13 views 0

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  1. Sigrid
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    2021-09-03T07:14:21+00:00
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    9514 1404 393

    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

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