Math Problem Statement
Only match 2 graphs with two of the stories
Solution
To match the two graphs with two of the stories:
Story 1:
- Story 1: "The population size declines to zero."
- This matches Graph (a), where the population starts at a certain point, declines rapidly, and then reaches zero.
Story 3:
- Story 3: "The population size grows somewhat fast at first, and then the rate of growth slows."
- This matches Graph (c), where the graph shows a steep initial rise followed by a slowing growth, indicating that the growth rate decreases over time.
The remaining story (Story 2) would be matched with one of the unmatched graphs in part (b).
Would you like further details or explanations on why these graphs match?
Here are some follow-up questions:
- Why does Story 1 fit graph (a) and not graph (d)?
- What characteristics of graph (c) indicate slowing growth?
- How does graph (b) differ from graph (c) in terms of population growth?
- What kind of scenario could Story 2 describe in real life?
- How would graph (d) change if the population never decreased?
Tip: Always pay close attention to the slope of the graph, as it directly represents the rate of change.
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Math Problem Analysis
Mathematical Concepts
Graph interpretation
Population growth
Rate of change
Formulas
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Theorems
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Suitable Grade Level
Grades 6-8
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