Math Problem Statement
Give me an image of the complete graph
During a snowstorm, Zoey tracked the amount of snow on the ground. When the storm began, there were 5 inches of snow on the ground. Snow fell at a constant rate of 2 inches per hour until another 8 inches had fallen. The storm then stopped for 2 hours and then started again at a constant rate of 1 inch per hour for the next 5 hours. Make a graph showing the inches of snow on the ground over time using the data that Zoey collected.
Solution
Here is the completed graph showing the inches of snow on the ground over time based on Zoey's dataHere is the completed graph showing the inches of snow on the ground over time based on Zoey's
- At the start, there were 5 inches of snow.
- Snow fell at a rate of 2 inches per hour for 4 hours, reaching 13 inches.
- The snow paused for 2 hours, maintaining 13 inches.
- Snowfall resumed at 1 inch per hour for the next 5 hours, reaching 18 inches.
Would you like further details or have any questions?
Here are some related questions you might explore:
- What would the graph look like if the snow paused for a different duration?
- How would the graph change if the snowfall rate increased to 3 inches per hour?
- What would happen to the total snow accumulation if snowfall continued without pause?
- How would we calculate the total snow if we included melting at a constant rate?
- How does the snow accumulation pattern compare to real-world storm tracking?
Tip: Always identify each segment's rate of change (slope) for clarity in such piecewise linear functions.
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Math Problem Analysis
Mathematical Concepts
Linear Graphing
Piecewise Functions
Rate of Change
Formulas
Slope formula: m = (y2 - y1) / (x2 - x1)
Theorems
Slope-intercept form for linear equations
Suitable Grade Level
Grades 6-8