Question 43349: 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
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
You have two points: (100,10000) and (300,22000)
The equation you want has the form C=mx+b
m=[22000-10000]/[300-100]=12000/200=60
With Cost=10000, x=100 and m=60 you can find "b", as follows:
10000=60(100)+b
10000=6000+b
b=4000
EQUATION:
C=60x+4000
Cheers,
stan H.
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