Math Problem Statement

Only match 2 graphs with two of the stories

Match the two graphs with two of the stories listed about the population of a city over time.

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:

  1. Why does Story 1 fit graph (a) and not graph (d)?
  2. What characteristics of graph (c) indicate slowing growth?
  3. How does graph (b) differ from graph (c) in terms of population growth?
  4. What kind of scenario could Story 2 describe in real life?
  5. 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