SOLUTION: If it costs Microsoft $1,230 to manufacture 8 Kinects per hour for the Xbox 360 and $2,430 to manufacture 16 per hour at a particular plant, obtain the corresponding linear cost fu

Algebra ->  Customizable Word Problem Solvers  -> Finance -> SOLUTION: If it costs Microsoft $1,230 to manufacture 8 Kinects per hour for the Xbox 360 and $2,430 to manufacture 16 per hour at a particular plant, obtain the corresponding linear cost fu      Log On

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Question 1045991: If it costs Microsoft $1,230 to manufacture 8 Kinects per hour for the Xbox 360 and $2,430 to manufacture 16 per hour at a particular plant, obtain the corresponding linear cost function C(x).
C(x) =
What was the cost to manufacture each additional Kinect?
$
Use the cost function to estimate the cost of manufacturing 24 Kinects in an hour.
$

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Plot +C%28x%29+ on the vertical axis
and +x+ on the horizontal axis
-------------------------------
You are given 2 points, ( x, C ) on the line:
( 8, 1230 )
( 16, 2430 )
Use general point-slope formula
+%28+C+-+1230+%29+%2F+%28+x+-+8+%29+=+%28+2430+-+1230+%29+%2F+%28+16+-+8+%29+
+%28+C+-+1230+%29+%2F+%28+x+-+8+%29+=+1200+%2F+8+
++%28+C+-+1230+%29+%2F+%28+x+-+8+%29+=+150+
+C+-+1230+=+150%2A%28+x+-+8+%29+
+C+=+150x+-+1200+%2B+1230+
+C%28x%29+=+150x+%2B+30+
-----------------------
Cost of an additional Kinect?
+C%28+x%2B1+%29+=+150%2A%28+x%2B1+%29+%2B+30+
+C%28+x%2B1+%29+=+150x+%2B+150+%2B+30+
+C%28+x%2B1+%29+=+150x+%2B+180+
+C%28+x%2B1+%29+-+C%28x%29+=+150+
$150 for additional Kinect
--------------------------------
+C%28x%29+=+150x+%2B+30+
+C%2824%29+=+150%2A24+%2B+30+
+C%2824%29+=+3600+%2B+30+
+C%2824%29+=+3630+
$3,630