https://file.aiquickdraw.com/mathbot/file/1726096053969gcn4g3p1.jpg

The given equation that models the situation is:

\[
y = 75x + 50
\]

In this equation:
- $ y $ represents the amount of money in the account.
- $ x $ represents the number of deposits made.
- The constant $ 50 $ is the **y-intercept**.

The y-intercept is the value of $ y $ when $ x = 0 $, meaning it represents the initial amount of money in the account before any deposits are made. 

Therefore, the y-intercept of 50 means Mario was given **$50 initially for his birthday** before he started making monthly deposits.

The correct answer is:
**A. He was given $50 for his birthday.**

Would you like more details or have any questions?

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Here are 5 related questions to expand on this:
1. What does the slope of the equation represent in this context?
2. How much money will Mario have after 6 deposits?
3. If Mario wants $500, how many deposits does he need to make?
4. How would the equation change if Mario increased his monthly deposit to $100?
5. What would the equation look like if Mario received $100 instead of $50 for his birthday?

**Tip**: The y-intercept of a linear equation always represents the starting value when the independent variable (in this case, the number of deposits) is zero.

What does the y-intercept mean in this situation?

This problem explains how to interpret the y-intercept in the linear equation y = 75x + 50, showing that Mario was initially given $50 for his birthday. Suitable for students in Grades 7-9, it helps clarify key algebraic concepts.

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