IM 7.2.11 Lesson: Interpreting Graphs of Proportional Relationships

Here is a graph that represents a proportional relationship.
[img]data:image/png;base64,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[/img][br][br]Invent a situation that could be represented by this graph.
Here is a graph that represents a proportional relationship. Give the Graph a title. Then label the axes with the quantities in your situation.
There is a point on the graph. What are its coordinates? What does it represent in your situation?
Tyler was at the amusement park. He walked at a steady pace from the ticket booth to the bumper cars.
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[/img][br][br]The point on the graph shows his arrival at the bumper cars. What do the coordinates of the point tell us about the situation?
The table representing Tyler's walk shows other values of time and distance. Complete the table. Next, plot the pairs of values on the grid.
What does the point [math]\left(0,0\right)[/math] mean in this situation?
How far away from the ticket booth was Tyler after 1 second? Label the point on the graph that shows this information with its coordinates.
What is the constant of proportionality for the relationship between time and distance? What does it tell you about Tyler's walk? Where do you see it in the graph?
If Tyler wanted to get to the bumper cars in half the time, how would the graph representing his walk change? How would the table change? What about the constant of proportionality?
4 seagulls ate 10 pounds of garbage. Assume this information describes a proportional relationship. Plot a point that shows the number of seagulls and the amount of garbage they ate. Then use the tools to draw a line through your point and (0,0).
Plot the point [math]\left(1,k\right)[/math] on the line in the app above. What is the value of [math]k[/math]? What does the value of [math]k[/math] tell you about this context?
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Information: IM 7.2.11 Lesson: Interpreting Graphs of Proportional Relationships