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Interpreting Graphs of Proportional Relationships

Interpreting Graphs of Proportional Relationships. Record the coordinates and what do they mean in the context of the situation? If Grandma only has 1 cup of sugar left, how many dozen cookies can she make? How many dozen cookies can she make with 0 cups of sugar?

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Interpreting Graphs of Proportional Relationships

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  1. Interpreting Graphs of Proportional Relationships

  2. Record the coordinates and what do they mean in the context of the situation? If Grandma only has 1 cup of sugar left, how many dozen cookies can she make? How many dozen cookies can she make with 0 cups of sugar? What is the unit rate, what is the constant of proportionality, and what does it mean? If you started at 0 and moved one unit horizontally, how many units would you have to go Vertically to hit the line? Why are we always moving at the same rate vertically? Must every graph have a point (1,r)?

  3. Can you tell if this is a proportional relationship by looking at the graph? How long can a person shower with 15 gallons of water? With 60? What are the coordinates of pointA and what do they mean? Can you use the graph to find the unit rate? What is the unit rate? Write an equation to represent the relationship of number of gallons used and length of a shower

  4. What two points are always on the graph of a proportional relationship? • How can you use the unit rate to create a table, graph, or equation? • How can you determine the unit rate from a table, graph, or equation?

  5. Exit Ticket • Great Rapids White Watering Company rents rafts for $125 per hour. • Explain why the point (0,0) and (1, 125) are on the graph and what they mean. • Write and equation that can be used to find the rental cost for any number of hours • How much does it cost to rent a raft for 6.5 hours?

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