SOLUTION: Problem: In planning for a new item, a manufacturer assumes that the number of items produced x and the cost in dollars C of producing these items are related by a linear equation

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Question 79512: Problem:
In planning for a new item, a manufacturer assumes that the number of items produced x and the cost in dollars C of producing these items are related by a linear equation. Projections are that 100 items will cost $10,000 to produce and that 300 items will cost $22,000 to produce. Find the equation that relates C and x.
Hint: This is just like other linear equations. Pretend that C is y.
y = mx + b

Answer by stanbon(48546) About Me  (Show Source):
You can put this solution on YOUR website!
Projections are that 100 items will cost $10,000 to produce and that 300 items will cost $22,000 to produce. Find the equation that relates C and x.
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You have two points and you want the equation of the line.
Points: (100,10000) (300,22000)
slope = [22000-10000]/[300-100]=12000/200=60
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Form of the line C=mx+b; you need to find "b".
10000=60*100+b
b=4000
C=60x+4000
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Cheers,
Stan H.