Understanding Graphs from Stories

This video tutorial explores creating graphs from stories involving walking to class. It uses time as the independent variable and distance from a reference point as the dependent variable. Three stories are presented: running then walking, walking then running, and forgetting a notebook. Each story is graphed with specific assumptions about speed and distance. The tutorial emphasizes the importance of labeling axes and how changing assumptions can alter the graph.

What is the independent variable used in the lesson's graph examples?

• Distance from the car

• Number of steps

• Time elapsed

• Speed of walking

In the first story, how far is the narrator from the car after running for two minutes?

• 200 yards

• 500 yards

• 300 yards

• 400 yards

What is the walking rate assumed in the first story?

• 50 yards per minute

• 200 yards per minute

• 100 yards per minute

• 150 yards per minute

In the second story, how long does the narrator walk before realizing they are late?

• 4 minutes

• 3 minutes

• 5 minutes

• 2 minutes

What is the running rate assumed in the second story?

• 250 yards per minute

• 100 yards per minute

• 150 yards per minute

• 200 yards per minute

In the third story, how far does the narrator walk before realizing they forgot their notebook?

• 200 yards

• 400 yards

• 300 yards

• 100 yards

After retrieving the notebook, how far is the narrator from the car after running for three minutes?

• 400 yards

• 500 yards

• 600 yards

• 700 yards

What is the total time taken to reach the classroom in the third story?

• 6 minutes

• 7 minutes

• 8 minutes

• 9 minutes

How would changing the reference location to the classroom affect the graph?

• It would change the starting point

• It would change the slope of the graph

• It would reverse the graph

• It would not affect the graph

What is emphasized in the conclusion regarding assumptions?

• Assumptions do not affect the graph

• Assumptions only affect the time axis

• Changing assumptions can alter the graph

• Assumptions are irrelevant to graphing