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Math

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A caterer charges a fixed cost for preparing a dinner plus an additional cost for each person served. You know that the cost for 100 students will be $750 and the cost for 150 students will be $1050. Find the caterer's fixed cost and the cost per student served.

  • Math - ,

    Look at it as being given two ordered pairs
    (100,750) and (150,1050)
    let's find the equation in the form
    y = mx + b, (b will be the fixed cost and m the cost per student)

    slope = m = (1050-750)/(150-100) = 6

    using (100,750) ...
    750 = 6(100) = b
    b = 150


    then y = 6x + 150

    (check: if x = 150, y = 6(150) + 150 = 1050 , YEAH

    so the fixed cost is $150, cost per student is $6

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