SOLUTION: 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 f

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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?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
I will plot +P+, production volume, on the
vertical axis and +C+, cost, on the
horizontal axis.
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I will use the general point-slope formula:
+%28+P+-+50+%29+%2F+%28+C+-+100+%29+=+%28+100+-+50+%29+%2F+%28+150+-+100+%29+
+%28+P+-+50+%29+%2F+%28+C+-+100+%29+=+50+%2F+50+
+P+-+50+=+C+-+100+
+P+=+C+-+50+
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check answer:
( $100, 50 )
+P+=+C+-+50+
+50+=+100+-+50+
+50+=+50+
OK
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( $150, 100 )
+P+=+C+-+50+
+100+=+150+-+50+
+100+=+100+
OK
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Here's the plot:
+graph%28+400%2C+400%2C+-30%2C+200%2C+-10%2C+150%2C+x+-+50+%29+