Question 1045991
Plot {{{ C(x) }}} on the vertical axis
and {{{ x }}} on the horizontal axis
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You are given 2 points, ( x, C ) on the line:
( 8,  1230 )
( 16, 2430 )
Use general point-slope formula
{{{ ( C - 1230 ) / ( x - 8 ) = ( 2430 - 1230 ) / ( 16 - 8 ) }}}
{{{ ( C - 1230 ) / ( x - 8 ) = 1200 / 8 }}}
{{{  ( C - 1230 ) / ( x - 8 ) = 150 }}}
{{{ C - 1230 = 150*( x - 8 ) }}}
{{{ C = 150x - 1200 + 1230 }}}
{{{ C(x) = 150x + 30 }}}
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Cost of an additional Kinect?
{{{ C( x+1 ) = 150*( x+1 ) + 30 }}}
{{{ C( x+1 ) = 150x + 150 + 30 }}}
{{{ C( x+1 ) = 150x + 180 }}}
{{{ C( x+1 ) - C(x) = 150 }}}
$150 for additional Kinect
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{{{ C(x) = 150x + 30 }}}
{{{ C(24) = 150*24 + 30 }}}
{{{ C(24) = 3600 + 30 }}}
{{{ C(24) = 3630 }}}
$3,630