SOLUTION: I have not a clue how to solve this. I am horrible at Algebra, PLEASE HELP!!!! In planning for a new item, a manufacturer assumes that the number of items produced x and the cos

Question 37269This question is from textbook Beginning Algebra
: I have not a clue how to solve this. I am horrible at Algebra, PLEASE HELP!!!!
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. This question is from textbook Beginning Algebra

Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
They make it sound so darn difficult, huh? Let me show you...
They give us two data points for x and C, that is (x, C) as
(100, 10000) and (300, 22000)
Just like with any x and y, we first find the slope and then use the point-slope form of a line...so slope m is
m = (y2 - y1) / (x2 - x1) = (22000 - 10000) / (300 - 100) =
m = 12000 / 200 = 60
Now that we know m = 60, we use
y - y1 = m(x - x1) which is the point-slope form. In our problem however, the y is or C...so we have (using either (x, C))...
C - 10000 = 60(x - 100)
C - 10000 = 60x - 6000 and finally
C = 60x + 4000
RELATED QUESTIONS
I sent this one before but I have not received a response. Please help. Business and... (answered by jim_thompson5910)

I have no clue on how to solve this homework question. I started a new school and I am... (answered by lenny460)

I can not understand how to factor trinomials in ax^2+bx+c format. I have been studying... (answered by mananth)

My teacher has a final in algebra one for us tomorrow. On the test are fractions. I am... (answered by josgarithmetic)

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

hello, i am new to this online help. I really do not know where consecutive... (answered by Alan3354)

A coin bank contains $17.00 in pennies and nickels. If there are 1140 coins in the bank,... (answered by checkley71)

Simplify: (-5a^2)(-6b^3)^2 I am getting a horrible grade in algebra and I REALLY REALLY... (answered by josgarithmetic,ankor@dixie-net.com)

S(with a sideways 8 beside it)=8-2+1/2+...=? Please help! I am so horrible at... (answered by fractalier)