Algebra Examples

Find the Equation of Variation
, ,
When three variable quantities have a constant ratio, their relationship is called a direct variation. It is said that one variable varies directly as the other two vary. The formula for direct variation is , where is the constant of variation.
Solve the equation for , the constant of variation.
Replace the variables , , and with the actual values.
Reduce the expression by cancelling the common factors.
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Reduce the expression by cancelling the common factors.
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Factor out of .
Cancel the common factors.
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Factor out of .
Cancel the common factor.
Rewrite the expression.
Reduce the expression by cancelling the common factors.
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Rewrite as .
Move the negative in front of the fraction.
Raise to the power of .
Write the equation of variation such that , replacing with the .
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