SOLUTION: A hockey team determines that it needs at least 60 points for the season in order to make the playoffs. A win w is worth 2 points and a tie t is worth 1 point. Find and graph an

Algebra ->  Linear-equations -> SOLUTION: A hockey team determines that it needs at least 60 points for the season in order to make the playoffs. A win w is worth 2 points and a tie t is worth 1 point. Find and graph an       Log On


   

Question 124479This question is from textbook Introductory Algebra
: A hockey team determines that it needs at least 60 points for the season in order to make the playoffs. A win w is worth 2 points and a tie t is worth 1 point. Find and graph an inequality that describes the situation. This question is from textbook Introductory Algebra

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A hockey team determines that it needs at least 60 points for the season in order to make the playoffs. A win w is worth 2 points and a tie t is worth 1 point. Find and graph an inequality that describes the situation.
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Let the number of wins be "w"; Let the number of ties be "t"
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Points Inequality: 2w + t >= 60
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Graphing the inequality:
1st: solve for t: t >= -2w+60
2nd: Graph the "equality": t = -2w+60
graph%28400%2C300%2C-10%2C70%2C-10%2C70%2C-2x%2B60%29
3rd: Shade the area above the x-axis, to the
right of the y-axis, below the equality line.
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Any one of the points on the line and any one of
the shaded points contain coordinates (w,t) that
will satisfy the inequality.
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Cheers,
Stan H.
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Cheers,
Stan H.