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,
Sher This question is from textbook Beginning Algebra

Answer by funmath(2933) (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!!!
RELATED QUESTIONS
Can someone help me on this problem? In planning for a new item, a manufacturer... (answered by Edwin McCravy)

Can someone please help me with this problem? It is due today. In planning for a... (answered by stanbon)

If someone could help me with this word problem I would very appreciative. Business... (answered by bucky)

Can someone please help me solve this word problem. In planning for a new item, a... (answered by mathispowerful)

Can you help me please! In planning for a new item, a manufacturer assumes that the... (answered by aaaaaaaa)

Problem: In planning for a new item, a manufacturer assumes that the number of items... (answered by stanbon)

I need help solving this word problem I tried so many time and I do not get the right... (answered by stanbon)

I have not a clue how to solve this. I am horrible at Algebra, PLEASE HELP!!!! In... (answered by fractalier)

I sent this one before but I have not received a response. Please help. Business and... (answered by jim_thompson5910)