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Jin’s soccer team has 4 coaches and 22 players, and his twin sister’s team has 2 coaches and 11 players. If the relationship between the number of players and coaches is proportional throughout the league, which ordered pair could represent the total number of coaches and players in the entire league?

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Question : Jin’s soccer team has 4 coaches and 22 players, and his twin sister’s team has 2 coaches and 11 players. If the relationship between the number of players and coaches is proportional throughout the league, which ordered pair could represent the total number of coaches and players in the entire league?

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Answer :

B :

26 coaches and 143 players

Using proportional relationships, it is found that the ordered pair for the relationship of the number of coaches and players is given by: (x, 5.5x).

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A proportional relationship is given by:

[tex]y = cx[/tex]

In which c is the constant of proportionality, and the relationship generates the ordered pair (x, cx).

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4 coaches when there are 22 players means that when [tex]x = 4, y = 22[/tex], and we use this to find c.

[tex]y = cx[/tex]

[tex]4c = 22[/tex]

[tex]c = \frac{22}{4}[/tex]

[tex]c = 5.5[/tex]

Thus, the ordered pair is given by:

(x, 5.5x)

A similar problem is given at https://brainly.com/question/16415494

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