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To determine which graph correctly represents the taxi fare in Chicago, let's analyze the fare structure provided:

- **Base fare**: $3.50
- **Fare per mile**: $2

The fare equation can be modeled as:
\[
y = 2x + 3.5
\]
where:
- $ y $ represents the total fare,
- $ x $ represents the distance traveled in miles,
- $ 2 $ is the rate per mile,
- $ 3.5 $ is the initial base fare.

Let's look at each graph option to determine which one represents this equation:

1. **Y-intercept**: The graph should start at $3.50 when $ x = 0 $ (since the base fare is $3.50).
2. **Slope**: The line should have a slope of 2, indicating a $2 increase in fare for each additional mile.

### Analysis of the Graphs
Based on the equation $ y = 2x + 3.5 $, let's match these characteristics to the graphs:

- **Graph A**: Starts at $0 rather than $3.50, which is incorrect.
- **Graph B**: Appears to start at $3.50 and increases with a slope of 2.
- **Graph C**: Starts at $0, not matching the base fare.
- **Graph D**: Does not appear to start at the correct point or have the correct slope.

### Conclusion
The correct answer is **Graph B**, as it starts at the correct base fare ($3.50) and has the appropriate slope (increase of $2 per mile).

Would you like more details on interpreting linear equations or have any other questions?

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Here are five related questions to deepen your understanding:
1. How do we calculate the slope of a line given two points?
2. What would happen to the graph if the base fare increased to $5?
3. How can we determine the y-intercept from a real-world scenario?
4. How does a change in the rate per mile affect the slope of the line?
5. What is the significance of the y-intercept in real-life applications?

**Tip:** When analyzing a graph for a real-life situation, always check the starting point (y-intercept) and the rate of increase (slope) to match the scenario described.

In the city of Chicago, the base fare for a taxi is $3.50, while each mile traveled costs $2. Select the graph that correctly displays the relationship between distance traveled and the taxi fare in Chicago.

Learn how to calculate the taxi fare in Chicago with a base fare of $3.50 and an additional $2 per mile using linear equations. This problem demonstrates how to interpret real-world situations with a linear equation in slope-intercept form, suitable for students in Grades 7-9.

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