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The image shows a graph of Colby's Savings Account over time, specifically illustrating how $100 grows over a span of 10 years. The question asks what the y-intercept represents.

**Explanation:**
The y-intercept of a graph is the point where the line crosses the y-axis. In this graph, the y-axis represents the "Amount (dollars)" in Colby's savings account, while the x-axis represents "Time (years)."

From the graph, the y-intercept is at $100. This means that at time $ t = 0 $ (the moment Colby started the savings account), the initial amount in the account was $100. Therefore, the y-intercept represents the initial deposit or starting balance in the account.

Would you like further details or clarification on this concept?

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Here are five related questions to deepen your understanding:
1. What is the significance of the slope of this graph?
2. If Colby earns interest on the account, how might the graph look different?
3. How would you calculate the slope of the line in this graph?
4. What does it mean if the line remains horizontal over time?
5. How can you find the total savings after a certain number of years using this graph?

**Tip:** When analyzing a graph, always start by identifying what the axes represent to interpret the key features like the y-intercept, slope, and trends effectively.

Colby put $100 in a savings account. The graph below shows how the amount in the account would increase over the next ten years. What does the y-intercept represent?

Explore how to interpret the y-intercept in Colby's savings account graph, where an initial deposit of $100 grows over a 10-year span. This example covers key concepts of linear relationships and graph interpretation, suitable for middle school students in grades 6-8.

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