document.write( "Question 110239: Please Help.\r
\n" ); document.write( "\n" ); document.write( "In planning for a new item, a manufactuer assumes that the number of items
\n" ); document.write( "produced x and the cost in dollars C of producing these items are related by a linear equation.\r
\n" ); document.write( "\n" ); document.write( "Projections are that 100 items will cost $10,000 to produce and that 300 items will cost $22,000 to produce.\r
\n" ); document.write( "\n" ); document.write( "Find the equation that relates C and x.\r
\n" ); document.write( "\n" ); document.write( "Thanks
\n" ); document.write( "JMS
\n" ); document.write( "no. 52
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Algebra.Com's Answer #80319 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
\"C+=+mx+%2B+b\"
\n" ); document.write( "m is the slope of the line, and b is the cost of producing 0 items (overhead)
\n" ); document.write( "\"m+=+%2822000+-+10000%29+%2F+%28300+-+100%29\"
\n" ); document.write( "\"m+=+12000+%2F+200\"
\n" ); document.write( "\"m+=+60\"
\n" ); document.write( "solve for b
\n" ); document.write( "\"10000+=+60%2A100+%2B+b\"
\n" ); document.write( "\"b+=+10000+-+6000\"
\n" ); document.write( "\"b+=+4000\"
\n" ); document.write( "\"C+=+60x+%2B+4000\" answer
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