Question 119686: 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.
Thanks
Answer by josmiceli(19441)   (Show Source):
You can put this solution on YOUR website! Plot  on the y-axis  on the x-axis
The equation, if linear, will be of the form
 ,  is the slope.
I'm given 2 points on the line, they are:
P1(100, 10000)
P2(300,22000)
Now I need to find the slope, of the line
connecting these points
So far I have  where  is the y-intercept
The slope-intercept formula is:
 or,replacing  with ,
 answer
check:
when  , 
This is a new point, P3(0,4000}. Using this point, do I
still get  ?
OK
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