IM 7.2.10 Practice: Introducing Graphs of Proportional Relationships

Which graphs could represent a proportional relationship? [br][br][img]data:image/png;base64,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[/img]
[size=150]A lemonade recipe calls for [math]\frac{1}{4}[/math] cup of lemon juice for every cup of water.[/size][br][img]data:image/png;base64,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[/img][br][size=150]Use the table to answer these questions.[br][/size][br]What does [math]x[/math] represent?
What does [math]y[/math] represent?
Is there a proportional relationship between [math]x[/math] and [math]y[/math]?
Plot the pairs in the table in the coordinate plane below. [br][img]data:image/png;base64,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[/img]
Plot the pairs in the table in a coordinate plane.
Select [b]all [/b]the pieces of information that would tell you [math]x[/math] and [math]y[/math] have a proportional relationship. Let y represent the distance in meters between a rock and a turtle's current position and [math]x[/math] represent the time in minutes the turtle has been moving.
Decide whether each table could represent a proportional relationship. If the relationship could be proportional, what would be the constant of proportionality?
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photo.[br][center][img]data:image/png;base64,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[/img][/center]
The distance from which a lighthouse is visible.[br][center][img]data:image/png;base64,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[/img][/center]
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Information: IM 7.2.10 Practice: Introducing Graphs of Proportional Relationships