In the context of this problem:
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\( n \), the number of nickels, is the independent variable. This is because it represents the input that can be varied or changed.
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\( v \), the value of the nickels in cents, is the dependent variable. This is because its value depends on the number of nickels, which is the independent variable.
So, to summarize:
- \( n \), the number of nickels, is the independent variable.
- \( v \), the value of the nickels in cents, is the dependent variable.