Question 61377This question is from textbook
: 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.
This question is from textbook
Answer by stanbon(75887)   (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: (100,10000) and (300,22000)
slope = [22000-10000]/[300-100]= 12000/200= 60
To find the C intercept:
C=mx+b
When x=100, C=10000
So,
10000=60(100)+b
b=4000
EQUATION:
C=60x+4000
Cheers,
Stan H.
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