document.write( "Question 437332: In producing a new product a manufacturer predicts that the number of items produced x and the cost in dollars C of producing those items will be related by a linear model. The cost of producing 100 items will be related $5000 and the cost of producing 500 items is $15000. Find the linear model relating z and C. Use the model to predict the cost for producing 400 items.
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Algebra.Com's Answer #302525 by ewatrrr(24785) $\"\"$ $\"About$

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document.write( "Hi 
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document.write( "(500,15000)    |Using the point-slope formula, 
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document.write( "(100,5000)  m = 10,000/400 = 25\r
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document.write( "Using the standard slope-intercept form for an equation of a line y = mx + b
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document.write( "  where 25 is the slope and b the y-intercept.  
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document.write( " C(x) = 25x + b
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document.write( " 5000 = 25*100 + b   |Using ordered pair (100,5000) to solve for b
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document.write( " 2500 = b
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document.write( " C(x) = 25*x + $2500    
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document.write( " C(400) = 25*400 + $2500 = $12,500\r
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document.write( "$18,000 = 25x + $2500
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document.write( " 15500/25 = x = 620 items would be predicted to be produced with $18,000
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