It has often been said, to avoid relegation from football’s Premier League, teams should aim to score at least 40 points in a season. Each team plays 38 games, a win is rewarded with 3 points and a draw with 1 point. No points are awarded for a loss.
Using and as the number of wins and draws respectively, write down two inequalities. One relating to the number of points a team needs to avoid relegation and one relating to the number of games played.
Explain why and must also be conditions related to the problem.
A team has won 4 games and drawn 4 after playing 17 games.
Write down two updated inequalities for the number of wins and draws required for the remainder of the season in order to avoid relegation.
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