emma is an artist and has created seven paintings. she plans to paint three additional paintings each week…

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 all that apply.\nthe independent variable is represented by the output values.\nthe dependent variable is the total number of paintings.\nthe total number of paintings depends on the number of weeks that have passed.\nthis scenario is a function because for each week that passes, there will be exactly one total number of paintings.\nthe number of weeks is the output value.

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 all that apply.\nthe independent variable is represented by the output values.\nthe dependent variable is the total number of paintings.\nthe total number of paintings depends on the number of weeks that have passed.\nthis scenario is a function because for each week that passes, there will be exactly one total number of paintings.\nthe number of weeks is the output value.

Answer

Brief Explanations:

  1. The independent variable is represented by the input values, not output values, so the first statement is false.
  2. The total number of paintings changes based on the number of weeks, so it is the dependent variable, making the second statement true.
  3. As the number of weeks changes, the total number of paintings changes, so the total number of paintings depends on the number of weeks, making the third statement true.
  4. For each value of the number of weeks (input), there is a unique total - number of paintings (output), so it is a function, making the fourth statement true.
  5. The number of weeks is the input value, not the output value, so the fifth statement is false.

Answer:

The dependent variable is the total number of paintings. 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.