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The problem you're showing involves a group of band members raising $2,000 for a trip, and the question is asking for the equation that represents the amount, $ A $, each member of the band receives, where $ m $ is the number of band members.

Given that the total amount of $2,000 is divided equally among $ m $ band members, the correct equation would be:

\[
A = \frac{2000}{m}
\]

This is because to find out how much each person receives, you take the total amount of $2,000 and divide it by the number of people, $ m $.

From the answer choices, this corresponds to option **b**: 
\[
A = \frac{2000}{m}
\]

Would you like further details, or do you have any more questions?

Here are 5 related questions:
1. How would the equation change if the band raised more or less than $2,000?
2. What happens to the value of $ A $ as $ m $ increases?
3. How can you interpret the equation if the number of members, $ m $, is very small or very large?
4. How would you calculate the amount $ A $ if you know the number of band members, say $ m = 10 $?
5. How could you adjust the equation if each band member had to pay a fee before receiving their share?

**Tip:** When dividing a total amount among a group, always ensure that you consider the number of individuals involved in the division to avoid confusion.

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?

Learn how to represent the division of a total amount ($2,000) among a group of members using algebra. This problem demonstrates basic division and algebraic concepts where each member receives an equal share of the total.

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