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Word Problem

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Assume that the mathematical model C(x) = 16x + 130 represents the cost C, in hundreds of dollars, for a certain manufacturer to produce x items. How many items x can be manufactured while keeping costs between $525,000 and $781,000? Thanks in advance!

  • Word Problem -

    C is in hundred so divide by 100
    substitute in C = 5250 and solve for x
    substitute in C = 7810 and solve for x

  • Word Problem -

    C(x) =16x+130 {x| 320 < x <480

    525,000/100

    5,250=16x+130

    16x=5,250-130

    16x=5,120

    x=5,120/16

    x=320

    781,000/100

    7,810=16x+130

    16x=7,810-130

    16x=7,680

    x=7,680/16
    x=480
    Then if that is true then this is the solution? I think I got it!

  • Word Problem -

    so anything between those numbers 320 and 480 if you did the arithmetic right

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