SOLUTION: Can someone help me on this problem? 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

Question 56781This 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 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,
SherThis question is from textbook Beginning Algebra

Answer by funmath(2873) (Show Source):
You can put this solution on YOUR website!
Hi Sher,
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.
Let (x1,C1)=(100,10000) Notice, I'm letting C=y and using the formulas that you've already used.
Let (x2,C2)=(300,22000)
Find their rate, or slope using:

Use the point slope formula

Another way to write this is:

Happy Calculating, Sher!!!