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Clarence's daughter will be participating in an upcoming dance recital. She will require a different costume for each dance she plans to performs.\newlinecc = the number of costumes Clarence's daughter will require\newlinedd = the number of dances Clarence's daughter plans to perform\newlineWhich of the variables is independent and which is dependent?\newlineChoices:\newline(A) dd is the independent variable and cc is the dependent variable\newline(B) cc is the independent variable and dd is the dependent variable

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Q. Clarence's daughter will be participating in an upcoming dance recital. She will require a different costume for each dance she plans to performs.\newlinecc = the number of costumes Clarence's daughter will require\newlinedd = the number of dances Clarence's daughter plans to perform\newlineWhich of the variables is independent and which is dependent?\newlineChoices:\newline(A) dd is the independent variable and cc is the dependent variable\newline(B) cc is the independent variable and dd is the dependent variable
  1. Define Variables: In this scenario, we need to determine the relationship between the number of dances dd and the number of costumes cc. The independent variable is the one that is chosen freely or controlled by the experimenter, while the dependent variable is the one that depends on the independent variable.
  2. Identify Independent Variable: Since the number of costumes required cc depends on the number of dances Clarence's daughter plans to perform dd, it means that the number of dances is the independent variable. This is because the number of dances can be chosen or decided upon without being influenced by the number of costumes, whereas the number of costumes needed is directly influenced by the number of dances.
  3. Choose Correct Relationship: Therefore, the correct choice is (A) dd is the independent variable and cc is the dependent variable, because the number of costumes needed depends on the number of dances.

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