Mathematics

Question

If the Campbell Candy company can produce Sarah's special candy bars at 100 for $165 and 600 for $195 write the cost function for the production process?

1 Answer

  • so we see that it is x and y
    x is number of candy bars
    y is cost

    so the numbers are
    100,165 and 600,196

    first we want to make it into slope inercept form
    y=mx+b m=slope, b=y inercept

    slope= (y1-y2)/(x1-x2)=(165-196)/(100-600)=-31/-500=31/500

    slope is 31/500

    y=31/500x+b
    subsitute
    165=31/500(100)+b
    165=31/5+b
    subtract b from both sides
    165-b=31/5
    multiply both sides by 5
    5(165-b)=31
    325-5b=31
    add 5 b to both sides
    325=31+5b
    subtaract 31 from both sides
    294=5b
    divide both sides by 5
    48 and 4/5=b=48.8

    y=31/500x+48.8