SOLUTION: Can someone help me on this problem? In planning for a new item, a manufacturer assumes that the number of itme produced x and the cost in dollars C of producing these items a

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Question 55916This question is from textbook Beginning Algebra
: Can someone help me on this problem?
In planning for a new item, a manufacturer assumes that the number of itme 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. I need to find the equation that relates C and x.
Thanks,
Ashley This question is from textbook Beginning Algebra

Answer by Edwin McCravy(20064) About Me  (Show Source):
You can put this solution on YOUR website!
Can someone help me on this problem?

  In planning for a new item, a manufacturer assumes that the number of itme
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.  I need to find the equation
that relates C and x.

  Thanks,
  Ashley

This is the same problem as:

Find the equation of the line which passes through the points (100, 10000)
and (300, 22000)

Can you do that? If not, post just that problem.

Equation of line:  y = 60x + 4000

All you need is to replace the y by C,

                   C = 60x + 4000 

Edwin