Question 1082156
Let {{{ y }}} = monthly cost
Let {{{ x }}} = number of games played
1st package:
{{{ y = 30 }}}
2nd package:
{{{ y = .75x + 10.5 }}}
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(1)
The slope for 1st package is zero
The slope for 2nd package is {{{ .75 }}}
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(2)
The slope shows how fast the cost is
change from month to month
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(3)
1st package:
y-intercept = 30
2nd package:
y-intercept = .75
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The y-intercept is the fixed cost before any
games are played
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When will the cost be the same?
[ 1st package ] = [ 2nd package ]
{{{ 30 = .75x + 10.5 }}}
{{{ .75x = 19.5 }}}
{{{ x = 26 }}}
The cost is the same when 26 games are played
After that the 2nd package will cost more than
the 1st
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Here's the plot:
{{{ graph( 400, 400, -3, 40, -4, 40, 30, .75x + 10.5 ) }}}