Algebra Examples

, ,
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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Multiply by to get .
Reduce the expression by cancelling the common factors.
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Factor out of .
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Factor out of .
Factor out of .
Move .
Multiply by to get .
Rewrite as .
Cancel the common factor.
Rewrite the expression.
Reduce the expression by cancelling the common factors.
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Rewrite as .
Multiply by to get .
Cancel the common factor.
Rewrite the expression.
Simplify the denominator.
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Remove parentheses around .
Raise to the power of to get .
Move the negative in front of the fraction.
Write the equation of variation such that , replacing with the .
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