Question 934299
Plot ( t,P )
Use the general point-slope formula
with {{{ P }}} in thousands of dollars
{{{ ( P - 90 ) / ( t - 0 ) = ( 125 - 90 ) / ( 7 - 0 ) }}}
{{{ ( P - 90 ) / t = 35 / 7 }}}
Multiply both sides by {{{ 7t }}}
{{{ 7*( P - 90 ) = 35t }}}
{{{ 7P - 630 = 35t }}}
{{{ 7P = 35t + 630 }}}
{{{ P = 5t + 90 }}}
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check:
does it go through ( 0,90 ) ?
{{{ 90 = 5*0 + 90 }}}
{{{ 90 = 90 }}}
OK
dos it go through ( 7,125 ) ?
{{{ 125 = 5*7 + 90 }}}
{{{ 125 = 125 }}}
OK
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Heres the plot:
{{{ graph( 400, 400, -1, 8, -10, 135, 5x + 90 ) }}}