Precalculus Examples

, ,
Step 1
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.
Step 2
Solve the equation for , the constant of variation.
Step 3
Replace the variables , , and with the actual values.
Step 4
Cancel the common factor of and .
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Step 4.1
Factor out of .
Step 4.2
Cancel the common factors.
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Step 4.2.1
Factor out of .
Step 4.2.2
Cancel the common factor.
Step 4.2.3
Rewrite the expression.
Step 5
Raise to the power of .
Step 6
Write the equation of variation such that , replacing with the .
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