Question 543545
Let {{{ n }}} = number of times you go to gym
For member:
Cost = {{{ 400 + 5n }}}
For non-member:
Cost = {{{ 4n + 10n }}}
Set the two costs equal to each other
{{{ 400 + 5n = 14n }}}
{{{ 9n = 400 }}}
{{{ n = 44.444 }}}
It looks like you have to go 45 times to make
being a member worth the money
Here's a plot of the lines:
( red is line for membership )
{{{ graph( 400, 400, -5, 50, -50, 750, 5x + 400, 14x ) }}}