Question

in a round - robin chess tournament, each player is paired with every other player once. the function, shown below, models the number of chess games, n, that must be played in a round - robin tournament with x chess players. in a round - robin chess tournament with 12 players, a total of 66 games were played. use this information to identify a point on the graph.

n = \frac{x^{2}-x}{2}

the point on the graph is \\(\square\\). (type an ordered pair.)

Explanation:

Step1: Identify given values

We know $x = 12$ (number of players) and $N$ is the number of games. The formula is $N=\frac{x^{2}-x}{2}$.

Step2: Substitute $x = 12$ into formula

$N=\frac{12^{2}-12}{2}=\frac{144 - 12}{2}=\frac{132}{2}=66$.

Answer:

$(12,66)$