Question 951430
The number of cars produced "depends" on
the number of days the plant is running, so
I can plot Cars Produced, {{{ C }}},  on the vertical
axis and Days Open {{{ d }}} on the horizontal axis.
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3 days ago was 22 days since plant opened
Yesterday was 24 days since plant opened
Use the general point-slope formula:
{{{ ( C - 450 ) / ( d - 22 ) = ( 480 - 450 ) / ( 24 - 22 ) }}}
{{{ ( C - 450 ) / ( d - 22 ) = 30 / 2 }}}
{{{ ( C - 450 ) / ( d - 22 ) = 15 }}}
{{{ C - 450 = 15*( d - 22 ) }}}
{{{ C - 450 = 15d - 330 }}}
{{{ C = 15d + 120 }}}
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check:
{{{ d = 22 }}}
{{{ C = 15*22 + 120 }}}
{{{ C = 330 + 120 }}}
{{{ C = 450 }}}
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{{{ d = 24 }}}
{{{ C = 15*24 + 120 }}}
{{{ C = 360 + 120 }}}
{{{ C = 480 }}}
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(1) When plant opened:
{{{ d = 0 }}}
{{{ C = 15*0 + 120 }}}
{{{ C = 120 }}}
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(2) In {{{ 5 }}} days,
{{{ d = 25+5 = 30 }}}
{{{ C = 15*30 + 120 }}}
{{{ C = 450 + 120 }}}
{{{ C = 570 }}}
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(3) {{{ C = 720 }}}
{{{ 720 = 15d + 120 }}}
{{{ 15d = 720 - 120 }}}
{{{ 15d = 500 }}}
{{{ d = 33.333 }}}
( this is during the 34th day )
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(4) {{{ d = 20 }}}
{{{ C = 15*20 + 120 }}}
{{{ C = 300 + 120 }}}
{{{ C = 420 }}}
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Hope I got it. It's a strange problem
because the plant just keeps filling up
and no cars get shipped ???