Questions: Members of the band sold juice and popcorn at a college football game to raise money for an upcoming trip. The band raised 2,000. The amount raised is divided equally among the m members of the band.
Which equation represents the amount, A, each member receives?
A = m / 2000
A = 2000 / m
A = 2000 m
A = 2000 - m
Transcript text: 2. Members of the band sold juice and popcorn at a college football game to raise money for an upcoming trip. The band raised $\$ 2,000$. The amount raised is divided equally among the $m$ members of the band.
Which equation represents the amount, $A$, each member recelves?
\[
A=\frac{m}{2000}
\]
\[
A=\frac{2000}{m}
\]
\[
A=2000 m
\]
\[
A=2000-m
\]
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Solution
Solution Steps
To find the amount \( A \) each member receives, we need to divide the total amount raised, which is $2000, by the number of members \( m \). This is because the total amount is shared equally among all members.
Step 1: Define the Problem
We need to determine the amount \( A \) that each member of the band receives from the total amount raised, which is \( 2000 \) dollars. The amount is divided equally among \( m \) members.
Step 2: Set Up the Equation
The equation to find the amount per member is given by:
\[
A = \frac{2000}{m}
\]
Step 3: Calculate the Amount for Given Members
For example, if there are \( m = 10 \) members, we can substitute this value into the equation:
\[
A = \frac{2000}{10} = 200.0
\]
Final Answer
Thus, the amount each member receives when there are 10 members is \\(\boxed{A = 200.0}\\).