I don't know what you the answers provided are if you can comment i'll be glad to help you :)
Answer: Experiment.
Explanation:
Suppose that we have two related variables, A (independent) and B (dependent)
We could design an experiment where we can manipulate the value of A at will, and we also can observe how the variable B changes.
This is called an experiment, where the objective is to see how the variable B is related to the variable A, and then try to make a model that explains this relationship.
Manipulated Variable:The speed working on maths problems
Responding Variable: The group that use¬ using a calculator
Controlled Variable:The same maths quetions