Question 1053919
You are given 2 points on the straight line
that tells you the ounces of water in the bottle
at any time {{{ x }}} after water was turned on
in seconds
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The given points, ( x,y ), are:
( 4, 10 )
( 11, 24 )
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You can use the general point-slope formula:
{{{ ( y - 10 ) / ( x - 4 ) = ( 24 - 10 ) / ( 11 - 4 ) }}}
{{{ ( y - 10 ) / ( x - 4 ) = 14/7 }}}
{{{ ( y - 10 ) / ( x - 4 ) = 2 }}}
{{{ y - 10 = 2*( x - 4 ) }}}
{{{ y - 10 = 2x - 8 }}}
{{{ y = 2x + 2 }}}
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check:
does it go through ( 4,10 )?
{{{ 10 = 2*4 + 2 }}}
{{{ 10 = 10 }}}
OK
does it go through ( 11,24 ) ?
{{{ 24 = 2*11 + 2 }}}
{{{ 24 = 24 }}}
OK
Note that when {{{ x=0 }}} ( started filling ), the
bottle already had {{{ 2 }}} ounces in it