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Doug, a pastry chef, is designing a cake for a retirement party. The number of tiers on the cake will be based on how many guests are expected to attend the party.\newlinet=t = the number of tiers the cake will have\newlineg=g = the number of guests expected\newlineWhich of the variables is independent and which is dependent?\newlineChoices:\newline(A) gg is the independent variable and tt is the dependent variable\newline(B) tt is the independent variable and gg is the dependent variable

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Q. Doug, a pastry chef, is designing a cake for a retirement party. The number of tiers on the cake will be based on how many guests are expected to attend the party.\newlinet=t = the number of tiers the cake will have\newlineg=g = the number of guests expected\newlineWhich of the variables is independent and which is dependent?\newlineChoices:\newline(A) gg is the independent variable and tt is the dependent variable\newline(B) tt is the independent variable and gg is the dependent variable
  1. Understand Relationship: In this scenario, we need to understand the relationship between the number of tiers on the cake ( extit{t}) and the number of guests expected at the party ( extit{g}). 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 Variables: Since the number of tiers Doug decides to make for the cake will depend on how many guests are expected to attend the party, we can say that the number of guests gg is the factor that will determine the number of tiers tt. Therefore, the number of guests is the independent variable because it influences the number of tiers, not the other way around.
  3. Determine Dependency: The number of tiers tt is the dependent variable because it is dependent on the number of guests gg. Doug will decide how many tiers to make based on the guest count. If more guests are expected, he might make more tiers, and if fewer guests are expected, he might make fewer tiers.

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