Solve the Problem $x$ Teams in a Sports League and All the Teams Play

question 84

Multiple Choice

Solve the problem.
-If there are $x$ teams in a sports league and all the teams play each other twice, a total of $N ( x )$ games are played, where $N ( x ) = x ^ { 2 } - x$ . A soccer league has 6 teams, each of which plays the others twice. If the league pays $\$ 49$ per game for the field and officials, how much will it cost to play the entire schedule?

• A) \(\$ 2058\)
• B) \(\$ 1470\)
• C) \(\$ 1764\)
• D) \(\$ 1568\)

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Definitions:

Tightly Controlled Conditions

Experimental settings where variables are strictly managed to ensure that the results can be accurately attributed to the factors being tested.

Hypotheses

Proposed explanations or predictions for a phenomenon, made as a starting point for further investigation.

Indirect Observations

Observations made through the use of instruments or tools rather than through direct sensory experience.

Replicable

Capable of being repeated or duplicated under similar conditions, allowing for verification of results.