independent variable is the water
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The controlled variable is the penny. The independent variable is the water. The dependent variable is the amount of water able to fit on the penny.
A dependent variable depends on the independent variable. If you are doing an experiment about how temperature affects the heat of water then the independent variable would be the temperature, as that is what you are going to change, and the dependent variable the water as the temperature of the water depends on the temperature surrounding it.
the independent of the tomato plant is the leaf and the dependent variable is the root
That the surface tension of water varies with the water's temperature. In this case, temperature would be the independent variable and surface tension would be the independent variable.
Independent variable is time; dependent variable is temperature.