Math Problem Statement
What is the slope of the line? (Graph of Distance (miles) vs. Time (hours))
Solution
The slope of a line is determined by the formula:
From the graph:
- The -axis represents "Distance (miles)".
- The -axis represents "Time (hours)".
- At the point (0, 0), distance is 0 miles at 0 hours.
- At the point (3, 60), distance is 60 miles at 3 hours.
Calculating the slope:
Thus, the correct answer is:
20 mi/h.
Would you like me to provide more details or explore a related topic?
Here are 5 related questions to consider:
- How do you calculate slope from a table of values?
- What are real-world examples of interpreting slopes?
- How does the slope change if the line is steeper or less steep?
- What is the meaning of a zero slope in a distance-time graph?
- How can you determine the slope if the graph scales change?
Tip: Always check units (e.g., miles, hours) when interpreting graphs!
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Math Problem Analysis
Mathematical Concepts
Linear Relationships
Slope Calculation
Interpreting Graphs
Formulas
slope = Δy / Δx
Theorems
Basic Slope Theorem
Suitable Grade Level
Grades 6-8