document.write( "Question 705316: A stationery firm produces 50 pens for $100 and 100 pens for $150. Assuming that the production volume P and cost C are linearly related, which equation represents the cost model for producing these pens? \n" ); document.write( "

Algebra.Com's Answer #434497 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
I will plot $\"+P+\"$ , production volume, on the
\n" ); document.write( "vertical axis and $\"+C+\"$ , cost, on the
\n" ); document.write( "horizontal axis.
\n" ); document.write( "---------------
\n" ); document.write( "I will use the general point-slope formula:
\n" ); document.write( " $\"+%28+P+-+50+%29+%2F+%28+C+-+100+%29+=+%28+100+-+50+%29+%2F+%28+150+-+100+%29+\"$
\n" ); document.write( " $\"+%28+P+-+50+%29+%2F+%28+C+-+100+%29+=+50+%2F+50+\"$
\n" ); document.write( " $\"+P+-+50+=+C+-+100+\"$
\n" ); document.write( " $\"+P+=+C+-+50+\"$
\n" ); document.write( "--------------
\n" ); document.write( "check answer:
\n" ); document.write( "( $100, 50 )
\n" ); document.write( " $\"+P+=+C+-+50+\"$
\n" ); document.write( " $\"+50+=+100+-+50+\"$
\n" ); document.write( " $\"+50+=+50+\"$
\n" ); document.write( "OK
\n" ); document.write( "------
\n" ); document.write( "( $150, 100 )
\n" ); document.write( " $\"+P+=+C+-+50+\"$
\n" ); document.write( " $\"+100+=+150+-+50+\"$
\n" ); document.write( " $\"+100+=+100+\"$
\n" ); document.write( "OK
\n" ); document.write( "-------
\n" ); document.write( "Here's the plot:
\n" ); document.write( " $\"+graph%28+400%2C+400%2C+-30%2C+200%2C+-10%2C+150%2C+x+-+50+%29+\"$
\n" ); document.write( " \n" ); document.write( "

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