To fill: The relation of the quantity to the quantities and if the quantities and z are related by .
The quantity is directly proportional to the quantity and inversely proportional to the quantity .
If the quantities and are related by an equation,
For some constant , we say that varies directly as , or is inversely proportional to . The constant is called the constant of proportionality.
The given equation is,
Compare the equation (2) with equation (1) to infer that z is directly proportional to x and z is inversely proportional to y.
Therefore, the quantity is directly proportional to the quantity and inversely proportional to the quantity .
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