Question 1010614
Find {{{ N }}} as a function of price {{{ p }}}
You are given 2 points, ( p, N )
( 25, 500 )
( 20, 650 )
Use general point-slope formula
{{{ ( N - 500 ) / ( p - 25 ) = ( 650 - 500 ) / ( 20 - 25 ) }}}
{{{ ( N - 500 ) / ( p - 25 ) = 150 / (-5) }}}
{{{ ( N - 500 ) / ( p - 25 ) = -30 }}}
{{{ N - 500 = -30*( p - 25 ) }}}
{{{ N = -30p + 750 + 500 }}}
{{{ N = -30p + 1250 }}}
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check:
( 25,500 )
{{{ N = -30p + 1250 }}}
{{{ 500 = -30*25 + 1250 }}}
{{{ 500 = -750 + 1250 }}}
{{{ 500 = 500 }}}
and
( 20, 650 )
{{{ N = -30p + 1250 }}}
{{{ 650 = -30*20 + 1250 }}}
{{{ 650 = -600 + 1250 }}}
{{{ 650 = 650 }}}
OK