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This assignment involves creating graphs based on given data and drawing conclusions from them. Let's break down the steps needed to complete it.

### Part 1: Diffusion of "A"

1. **Data**: You are provided with measurements of "Distance 'A' diffused" over time, along with the corresponding rate of diffusion.

   - **Table Analysis**:
     - Time (min): 2, 4, 6, 8, 10
     - Distance diffused (mm): 16, 31, 44, 56, 67
     - Rate of diffusion (mm/min): 8, 7.75, 7.3, 7.0, 6.7

   - **Graphing**:
     - Create a **line graph** with **time (minutes)** on the x-axis and **rate of diffusion (mm/min)** on the y-axis.
     - Plot the points and observe the trend in the rate of diffusion over time.

   - **Analysis**:
     - Generally, the rate of diffusion decreases over time, which might indicate that as diffusion progresses, it slows down, possibly due to factors such as concentration gradients.

2. **Conclusion**:
   - You’ll need to state the relationship observed (i.e., the rate of diffusion decreases as time increases) and explain any potential factors influencing this trend.

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### Part 2: Home Heating Fuel Trends in the U.S.

1. **Data**: This table shows the percentage of U.S. homes heated by various types of fuels across different years (1940, 1960, 1980, and 2000).

   - **Categories**: Wood, Oil, Coal, Electricity, Utility Gas, and Solar.
   - Notice that some fuels become more popular over time (e.g., Electricity), while others (e.g., Coal) decline sharply.

   - **Graphing**:
     - Choose a graph type that best illustrates changes over time, such as a **stacked bar graph** or **line graph**. These allow for comparisons across years and show trends effectively.

   - **Question**:
     - “What type of graph did you draw?”—based on your selection (likely a line or stacked bar graph).
     - Explain why this graph type is appropriate for showing trends over time.

2. **Analysis**:
   - For each fuel type, observe the trends. For example:
     - Wood usage drops significantly after 1940.
     - Oil rises by 1960, then declines.
     - Coal declines sharply over time.
     - Electricity and Utility Gas become more prevalent.
     - Solar is minimally used by 2000.

   - **Conclusion**:
     - Summarize the trends, such as the decline of traditional fuels (wood, coal) and the rise of utility gas and electricity, indicating shifts in energy sources and technology over time.

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Would you like further guidance on creating these graphs or interpreting the data? 

### Related Questions
1. What factors could cause the rate of diffusion to decrease over time?
2. Why might traditional fuel sources like coal and wood have declined in popularity?
3. How might these trends in fuel usage reflect broader environmental or technological changes?
4. What other graph types could represent the diffusion rate and why?
5. How does the choice of graph type affect data interpretation?

### Tip
When creating graphs, ensure that each axis is clearly labeled, and consider using different colors or line styles to distinguish between multiple data sets. This makes the trends easier to analyze and interpret.

Graphing/Solutions Dilutions Homework 2 D23

Analyze and graph data for diffusion rates over time and fuel usage trends in the U.S. from 1940 to 2000. Learn to identify patterns, interpret trends, and draw conclusions based on historical data. Suitable for students in Grades 9-10.

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