Question

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.

Answer 1

Answer:

• 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.