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?

Question

Annie Galloway

Mathematics

6 February, 22:47

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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Deleon · Answer 1

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