During a snowstorm, Lincoln tracked the amount of snow on the ground. When the snowstorm began there was no snow on the ground. For the first three hours of the storm snow fell at a constant rate of 3 in./h the storm then stopped for five hours and then started again at a constant rate of 2 in./h for the next two hours, make a graph showing the inches of snow on the ground overtime that Lincoln collected 

To graph the accumulation of snow on the ground during the snowstorm, we'll break down the situation into different time intervals and calculate the amount of snow accumulated at each point. Then, we'll plot these values on a graph.

### Steps to Create the Graph:
1. **Time Interval 0-3 Hours:**  
   - Snowfall rate: 3 inches per hour.
   - Snowfall accumulated after 3 hours: \(3 \text{ in/hr} \times 3 \text{ hr} = 9 \text{ inches}\).

2. **Time Interval 3-8 Hours (Storm Paused):**  
   - No snowfall during this period.
   - Total snow on the ground remains at 9 inches.

3. **Time Interval 8-10 Hours:**  
   - Snowfall rate: 2 inches per hour.
   - Snowfall accumulated during this time: \(2 \text{ in/hr} \times 2 \text{ hr} = 4 \text{ inches}\).
   - Total snow on the ground after 10 hours: \(9 \text{ inches} + 4 \text{ inches} = 13 \text{ inches}\).

### Graphing the Data:
- **X-Axis (Horizontal):** Time (hours).
- **Y-Axis (Vertical):** Snow accumulation (inches).

### Plotting Points:
- At \(t = 0\) hours: 0 inches of snow.
- At \(t = 3\) hours: 9 inches of snow.
- From \(t = 3\) to \(t = 8\) hours: Constant at 9 inches.
- At \(t = 10\) hours: 13 inches of snow.

### Sketch of the Graph:

1. **0 to 3 hours**: A straight line with a positive slope (3 in/hr), reaching 9 inches at the 3-hour mark.
2. **3 to 8 hours**: A horizontal line at 9 inches, indicating no additional snow.
3. **8 to 10 hours**: Another straight line with a positive slope (2 in/hr), reaching 13 inches at the 10-hour mark.

The graph will look like a piecewise linear function with a positive slope, a flat section, and another positive slope.

Would you like a visual representation of this graph?

Explore how Lincoln tracked snow accumulation during a snowstorm with a detailed graph. This problem involves arithmetic calculations and graphing linear equations to depict the amount of snow on the ground over time. Suitable for students in Grades 6-8.

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