Question 640239
Plot time = {{{t}}} on the horizontal axis
Plot miles remaining = {{{r}}} on the vertical axis
The equation has the form {{{ r = -.95t + r[0] }}}
where {{{ r[0] }}} is the value of {{{ r }}} at {{{ t = 0 }}}
given:
{{{ r = -.95t + r[0] }}}
{{{ 58 = -.95*50 + r[0] }}}
{{{ 58 = -47.5 + r[0] }}}
{{{ r[0] = 105.5 }}}
So, the equation is:
{{{ r = -.95t + 105.5 }}}
When {{{ t = 38 }}}
{{{ r = -.95*38 + 105.5 }}}
{{{ r = -36.1 + 105.5 }}}
{{{ r = 69.4 }}}
69.4 miles remained after 38 minutes of driving
Here's the plot:
{{{ graph( 400, 400, -10, 100, -20, 200, -.95x + 105.5 ) }}}