SOLUTION: In planning for a new item, a manufacturer assumes that the number of items produced x and the cost in dollrs c of producing these items are related by a linear equation. Projecti

Question 42298: In planning for a new item, a manufacturer assumes that the number of items produced x and the cost in dollrs 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.
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
We have two data points for (x, c)...they are
(100, 10000) and (300, 22000)...
First find the slope m...
m = (y2 - y1) / (x2 - x1)
m = (22000 - 10000) / (300 - 100)
m = 12000 / 200 =
m = 60
Now plug this and one point into the slope-intercept form
y - y1 = (x - x1)
y - 10000 = 60(x - 100)
y - 10000 = 60x - 6000
y = 60x + 4000
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