Math Problem Statement
Solution
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 (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?
Here are five related questions to deepen your understanding:
- What is the significance of the slope of this graph?
- If Colby earns interest on the account, how might the graph look different?
- How would you calculate the slope of the line in this graph?
- What does it mean if the line remains horizontal over time?
- 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.
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Math Problem Analysis
Mathematical Concepts
Linear Relationships
Graph Interpretation
y-Intercept
Formulas
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Theorems
y-Intercept Theorem
Suitable Grade Level
Grades 6-8