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?

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01-02-2015
Mathematics

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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?

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apologiabiology apologiabiology · Answer 1 · 2015-02-01T02:35:44+01:00

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