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Emma is an artist and has created seven paintings. She plans to paint three additional paintings each week. What statements are true of this scenario? Check the three that apply.(3 points)ResponsesThe total number of paintings depends on the number of weeks that have passed.The total number of paintings depends on the number of weeks that have passed.This scenario is a function because for each week that passes, there will be exactly one total number of paintings.This scenario is a function because for each week that passes, there will be exactly one total number of paintings.The number of weeks is the output value.The number of weeks is the output value.The independent variable is represented by the output values.The independent variable is represented by the output values.The dependent variable is the total number of paintings.

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Based on the scenario provided, the following statements are true:

  1. The total number of paintings depends on the number of weeks that have passed. - This is true because the total number of paintings increases with each week that passes.

  2. This scenario is a function because for each week that passes, there will be exactly one total number of paintings. - This is true because each week corresponds to one specific total number of paintings, making it a function.

  3. The dependent variable is the total number of paintings. - This is true because the total number of paintings changes based on the number of weeks that pass, so it depends on that variable.

The following statements are not true:

  • The number of weeks is the output value. - The number of weeks is the independent variable (input), while the total number of paintings is the output value.

  • The independent variable is represented by the output values. - This is incorrect. The independent variable (number of weeks) is not represented by the output values, but rather it determines the output values.

So, the three true statements are:

  1. The total number of paintings depends on the number of weeks that have passed.
  2. This scenario is a function because for each week that passes, there will be exactly one total number of paintings.
  3. The dependent variable is the total number of paintings.