Question 1029794
Let {{{ y }}} = the monthly fee
Let {{{ x }}} = the number of months of cable use
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For Snyder Cable Co.
{{{ y = 60x }}}
For Butler Cable Co:
{{{ y = 100 + 40x }}}
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Set the monthly fees equal to each other
{{{ 60x = 100 + 40x }}}
{{{ 20x = 100 }}}
{{{ x = 5 }}}
After 5 months the fees are the same
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check answer:
{{{ y = 60x }}}
{{{ y = 60*5 }}}
{{{ y = 300 }}}
and
{{{ y = 100 + 40x }}}
{{{ y = 100 + 40*5 }}}
{{{ y = 300 }}}
OK
Here are x-y plots for the 2 companies:
{{{ graph( 400, 400, -1, 8, -40, 350, 60x, 40x + 100 ) }}}