Questions: Graphs, Functions, and Systems Choosing a graph to fit a narrative: Basic (a) Kaitlin fills her pool with water. (b) Lamar walks from home to school.

Graphs, Functions, and Systems Choosing a graph to fit a narrative: Basic (a) Kaitlin fills her pool with water. (b) Lamar walks from home to school.
Transcript text: Graphs, Functions, and Systems Choosing a graph to fit a narrative: Basic (a) Kaitlin fills her pool with water. (b) Lamar walks from home to school.
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Solution

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Solution Steps

Step 1: Analyze the narrative for Kaitlin filling her pool with water
  • The narrative describes Kaitlin filling her pool with water. This implies that the water level in the pool increases over time. The graph should show a relationship between time (x-axis) and the water level (y-axis), where the water level increases steadily as time progresses.
Step 2: Determine the type of graph for Kaitlin's scenario
  • Since the water level increases steadily over time, the graph should be a straight line with a positive slope. This represents a linear function, where the water level rises at a constant rate.
Step 3: Analyze the narrative for Lamar walking from home to school
  • The narrative describes Lamar walking from home to school. This implies that Lamar's distance from home increases over time until he reaches school. The graph should show a relationship between time (x-axis) and distance from home (y-axis), where the distance increases steadily as time progresses.
Step 4: Determine the type of graph for Lamar's scenario
  • Since Lamar's distance from home increases steadily over time, the graph should also be a straight line with a positive slope. This represents a linear function, where the distance increases at a constant rate.

Final Answer

For Kaitlin filling her pool with water: \( \boxed{\text{Linear function with positive slope}} \)
For Lamar walking from home to school: \( \boxed{\text{Linear function with positive slope}} \)

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