Question 720800
{{{ Q(t) = 18*( 1 - e^(-.06t) )}}}
{{{ Q(t) }}} is in pounds
{{{ t }}} is in minutes
(a)
{{{ Q(5) = 18*( 1 - e^(-.06*5) )}}}
{{{ Q(5) = 18*( 1 - e^(-.3) )}}}
{{{ Q(5) = 18 - 18*e^(-.3) }}}
{{{ Q(5) = 18 - 18 / e^.3 }}}
{{{ Q(5) = 18 - 18 / 1.3499 }}}
{{{ Q(5) = 18 - 13.3347 }}}
{{{ Q(5) = 4.6653 }}} pounds
(b)
{{{ Q(12.5) = 18 - 18/e^.75 }}}
{{{ Q(12.5) = 18 - 18/2.117 }}}
{{{ Q(12.5) = 18 - 8.5026 }}}
{{{ Q(12.5) = 9.4974 }}} pounds
Here's a plot of this function:
{{{ graph( 400, 400, -4, 16, -4, 16, 18*( 1 - e^(-.06x)) ) }}}