SOLUTION: 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. Projecti

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: 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. Projecti      Log On


   

Question 44869: 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 Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
x-values are the amount of items
y-values are the cost
(100,10000) and (300,22000)
M = (y2 - y1)/(x2 - x1) = (22000 - 10000)/(300 - 100) = 12000/200 = 60
Point-Slope Form
y+-+y1+=+m%28x+-+x1%29
y+-+10000+=+60%28x+-+100%29
y+-+10000+=+60x+-+6000
y+=+60x+%2B+4000
+graph%28+600%2C+600%2C+-50%2C+300%2C+-500%2C+22000%2C+60x+%2B+4000%29+