To create a graph showing the inches of snow on the ground over time based on Elijah's observations, we can break the timeline down into segments based on the changes in snowfall and melting. Here's how the snow accumulation and melting occurred, plotted against time:
Time Segments:
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Starting Point (t = 0 hours): 1 inch of snow already on the ground.
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First 2 hours (t = 0 to 2 hours):
- Snowfall = 1 inch/hour for 2 hours.
- Total snow = 1 inch + (1 inch/hour * 2 hours) = 3 inches.
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Next 6 hours (t = 2 to 8 hours):
- No snowfall occurs (the storm stops).
- Total snow remains at 3 inches.
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Next 4 hours (t = 8 to 12 hours):
- Snowfall = 2 inches/hour for 4 hours.
- Total snow = 3 inches + (2 inches/hour * 4 hours) = 11 inches.
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Next 2 hours (t = 12 to 14 hours):
- Melting = 5 inches/hour for 2 hours.
- Total snow = 11 inches - (5 inches/hour * 2 hours) = 1 inch.
Summary of Data Points:
- t = 0 hours: 1 inch
- t = 2 hours: 3 inches
- t = 8 hours: 3 inches
- t = 12 hours: 11 inches
- t = 14 hours: 1 inch
Graphing Instructions:
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Create Axes:
- X-axis: Time (in hours)
- Y-axis: Inches of snow on the ground
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Plot Points:
- (0, 1)
- (2, 3)
- (8, 3)
- (12, 11)
- (14, 1)
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Connect Points:
- Draw line segments connecting the points to show the changes over time.
- The line between (0, 1) and (2, 3) should have a positive slope.
- The line between (2, 3) and (8, 3) is horizontal (indicating no snow accumulation).
- The line between (8, 3) and (12, 11) has a positive slope.
- The line between (12, 11) and (14, 1) has a negative slope.
Final Touches:
Label the points and segments if necessary, providing a visual representation of the snow accumulation process and the impact of melting in a structured way.
This graphical representation would visually depict the increase and decrease of snow on the ground over the specified timeframe.
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