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28 May, 23:50

The coaches and umpires in Eagle Rock Little League are all adults. There are four coaches for each team, plus a total of fifteen umpires.

Part A

Write an expression to represent the total number of adults in the Little League, where t is the number of teams.

Part B

If there are nine teams in the league, how many adults are part of the Little League? Show your work.

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Answers (1)
  1. 29 May, 00:10
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    The expression that represents the total number of adults: 4t + 15

    51 adults are part of the Little League

    Explanation:

    Part A.

    1. Name the variables:

    Number of teams: t Number of adults: A

    2. Write the function that models the relation between the variables:

    There are four coaches for each team: 4t; it s a variable term A total of 15 umpires: 15; it is a constant term A = 4t + 15 (total number of adults)

    The expression that represents the number of adults is 4t + 15

    Part B.

    If there are nine teams in the league, you substitute 9 for t in the expression that represents the total number of adults in the Little League (make t = 9) to determine how mnay adults are part of the Little League:

    4t + 15 = 4 (9) + 15 = 36 + 15 = 51

    Hence, 51 adults are part of the Little League.
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