SOLUTION: A company has a manufacturing plant that is producing quality jackets. They find that in order to produce 180 jackets in a month, it will cost $5340. Also, to produce 400 jackets i

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A company has a manufacturing plant that is producing quality jackets. They find that in order to produce 180 jackets in a month, it will cost $5340. Also, to produce 400 jackets i      Log On


   



Question 1010801: A company has a manufacturing plant that is producing quality jackets. They find that in order to produce 180 jackets in a month, it will cost $5340. Also, to produce 400 jackets in a month, it will cost $8200. Find an equation in the form y=mx+b, where x is the number of jackets produced in a month and y is the monthly cost to do so
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Plot cost, +C+, on the vertical axis and
number of jackets, +n+ on the horizontal
axis. You are given 2 points, ( n, C ):
( 180, 5340 )
( 400, 8200 )
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Use the general point-slope formula:
+%28+C+-+5340+%29+%2F+%28+n+-+180+%29+=+%28+8200+-+5340+%29+%2F+%28+400+-+180+%29+
+%28+C+-+5340+%29+%2F+%28+n+-+180+%29+=+2860+%2F+220+
+%28+C+-+5340+%29+%2F+%28+n+-+180+%29+=+13+
+C+-+5340+=+13%2A%28+n+-+180+%29+
+C+-+5340+=+13n+-+2340+
+C+=+13n+%2B+3000+
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check answer:
( 180, 5340 )
+C+=+13n+%2B+3000+
+5340+=+13%2A180+%2B+3000+
+5340+=+2340+%2B+3000+
+5340+=+5340+
OK
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You can check ( 400, 8200 )
Also they want to use x and y, so
+n+=+x+ and +C+=+y+