https://file.aiquickdraw.com/mathbot/file/17253926612223urhbekw.jpg

The problem in the image is asking to find the equation that represents the amount $ A $ each member of the band receives when the total amount of $2,000 is divided equally among $ m $ members.

Given that the total amount is $2,000 and it is divided equally among $ m $ members, the amount each member receives, $ A $, is given by:

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

Let's compare this with the options provided in the image:

- **A. $ A = \frac{2000}{m} $**: This is the correct equation as it matches the formula derived above.
- **B. $ A = \frac{m}{2000} $**: This is incorrect because it incorrectly divides $ m $ by 2000, which does not represent the problem.
- **C. $ A = 2000 - m $**: This is incorrect as it subtracts $ m $ from 2000, which does not represent dividing the total amount among the members.
- **D. $ A = 2000m $**: This is incorrect because it multiplies 2000 by $ m $, which is not the correct operation for this problem.

So, the correct answer is **A. $ A = \frac{2000}{m} $**.

Would you like more details or have any other questions? Here are five related questions you might find useful:

1. How do you determine the amount each member receives if the total amount raised changes?
2. What happens to the amount each member receives if the number of members increases?
3. Can you derive a general formula for any total amount raised and number of members?
4. How would the equation change if a portion of the total amount was set aside before distribution?
5. How can this concept be applied to real-world scenarios outside of fundraising?

**Tip:** Always ensure that the operation you choose in an equation accurately reflects the situation described in the problem.

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?

Understand how to divide a total amount of $2,000 equally among m members to determine the amount each member receives. This problem is suitable for students in Grades 6-8 and covers key algebraic concepts related to division and equations.

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