SOLUTION: monthly charge for garbage collection is $12 for 42lbs and $16.80 for 50lbs, derive a a linear cost function

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Question 1071837: monthly charge for garbage collection is $12 for 42lbs and $16.80 for 50lbs, derive a a linear cost function
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
monthly charge for garbage collection is $12 for 42lbs and $16.80 for 50lbs, derive a a linear cost function
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You have 2 points relating lbs and cost:: (421,12) and (50,16.8)
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slope = (16.8-12)/(50-421) = -0.0129
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Form:: cost = slope*weight + b
Solve for "b" using cost = 12 and weight = 421 and slope = -0.0129
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12 = -0.0129*421 + b
b = 6.55
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Equation:
C(lbs) = -0.129(lbs) + 6.55
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Cheers,
Stan H.
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