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Becky is organizing a martial arts tournament and is ordering trophies for the winners. The more divisions there are in the tournament, the more trophies Becky needs to order.\newlined=d = the number of divisions in the tournament\newlinet=t = the number of trophies Becky orders\newlineWhich of the variables is independent and which is dependent?\newlineChoices:\newline(A) dd is the independent variable and tt is the dependent variable\newline(B) tt is the independent variable and dd is the dependent variable

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Q. Becky is organizing a martial arts tournament and is ordering trophies for the winners. The more divisions there are in the tournament, the more trophies Becky needs to order.\newlined=d = the number of divisions in the tournament\newlinet=t = the number of trophies Becky orders\newlineWhich of the variables is independent and which is dependent?\newlineChoices:\newline(A) dd is the independent variable and tt is the dependent variable\newline(B) tt is the independent variable and dd is the dependent variable
  1. Definition of Variables: In any given scenario, the independent variable is the one that is changed or controlled in a scientific experiment to test the effects on the dependent variable. The dependent variable is the variable being tested and measured in an experiment, and it is 'dependent' on the independent variable.
  2. Martial Arts Tournament Scenario: In the context of the martial arts tournament, the number of divisions dd is what determines the number of trophies tt that Becky needs to order. Becky decides on the number of divisions, and based on that, she will know how many trophies to order. Therefore, the number of divisions is the cause, while the number of trophies is the effect.
  3. Identification of Independent and Dependent Variables: Since the number of trophies depends on the number of divisions, dd is the independent variable and tt is the dependent variable. This corresponds to choice (A)(A).

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