Math Problem Statement
Solution
The graph shows the number of figurines Tracy collects over time. The question asks about the time interval in which the number of figurines decreases the fastest. To solve this, we need to look for the steepest downward slope on the graph, as this represents the fastest decrease in figurines.
Analysis:
- From 1 to 2 months, the graph shows a slight increase in the number of figurines.
- From 2 to 3 months, there is a sharp increase in the number of figurines.
- From 3 to 4 months, the number of figurines decreases, and the slope is downward, indicating a drop in the collection.
- From 4 to 5 months, the graph shows a sharp increase in the number of figurines again.
Conclusion:
The interval between 3 and 4 months shows the fastest decrease in figurines, as it is the only section of the graph where the slope is sharply downward.
Thus, the correct answer is: C) Between 3 and 4 months
Would you like further clarification or additional details?
Related questions:
- What does the steepness of a slope on a graph represent in terms of rate of change?
- How can we determine an increase or decrease from a graph?
- What does a flat (horizontal) slope indicate about the collection of figurines over time?
- How would the graph change if Tracy only collected figurines and never traded or sold any?
- How can you calculate the exact rate of decrease between 3 and 4 months?
Tip: Always look for steep slopes on graphs to quickly identify periods of rapid change, whether increase or decrease.
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Math Problem Analysis
Mathematical Concepts
Graph interpretation
Rate of change
Slopes
Formulas
None - Visual slope comparison on a graph
Theorems
None directly, but slope analysis is implied
Suitable Grade Level
Grades 6-8