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Grace is planning her wedding. The number of announcements she orders is determined by how many guests she wants to invite.\newlinea=a = the number of announcements\newlineg=g = the number of guests\newlineWhich of the variables is independent and which is dependent?\newlineChoices:\newline(A) gg is the independent variable and aa is the dependent variable\newline(B) aa is the independent variable and gg is the dependent variable

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Q. Grace is planning her wedding. The number of announcements she orders is determined by how many guests she wants to invite.\newlinea=a = the number of announcements\newlineg=g = the number of guests\newlineWhich of the variables is independent and which is dependent?\newlineChoices:\newline(A) gg is the independent variable and aa is the dependent variable\newline(B) aa is the independent variable and gg is the dependent variable
  1. Definition of Variables: In any function or relationship between two variables, 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 value of the independent variable.
  2. Wedding Planning Context: In the context of wedding planning, the number of guests gg that Grace wants to invite is typically chosen first. This is the value that is decided upon based on her preferences, venue capacity, or other considerations.
  3. Relationship between Variables: Once the number of guests gg is determined, the number of announcements aa that need to be ordered will depend on that number. Therefore, the number of announcements is dependent on the number of guests.
  4. Identification of Independent and Dependent Variables: Based on the relationship described, gg is the independent variable because it is chosen first and does not depend on any other variable. On the other hand, aa is the dependent variable because its value depends on the number of guests.

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