Question 31247
Hello!
The equation you gave:
{{{ -.50x+15=y}}}
shows how money is left (y) after playing x games. It looks like this
{{{graph(200,200,-3,32,-1,16,-.50x+15)}}}

In order to find how much money is left after 7 games, we just plug x=7 into the equation:
{{{y=15 - 0.50*7 = 11.50}}}


The x-intercept is the value of x when y = 0. We just plug y=0 into the equation and solve for x:

{{{0 = 15 - 0.50x}}}
{{{0.50x = 15}}}
{{{x = 15/0.50 = 30}}}

So the x-intercept is 30. Its interpretation is "How many games can you play until the money you have left is zero?". The answer is 30 games.


I hope this helps!
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