The rule C equals 6.3 R gives the approximate circumference C of a circle as a function of its radius R. Identify the independent and dependent variables in this relationship. Explain your reasoning.
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C depends on R, right?
In the given rule, C equals 6.3R, the variables are C and R. To identify the independent and dependent variables, we need to understand the relationship between them.
The independent variable is the variable that can be freely chosen or manipulated in an experiment or equation. It is not influenced by any other variables. In this case, the radius R of the circle is a variable that can be freely selected. We can choose any value for the radius, and then the equation will determine the corresponding circumference.
The dependent variable, on the other hand, is the variable whose value depends on the independent variable. In this case, the circumference C of the circle is determined by the value of the radius R. The circumference is dependent on the chosen value of the radius.
So, in the given equation C = 6.3R, R is the independent variable, and C is the dependent variable.