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Maths II

Variation

In an inverse variation (proportion), the values of the two variables change in an opposite manner - as one value increases, the other decreases.

Inverse proportion is described in the language of variation as follows -

- varies inversely as
- is inversely proportional to
- (read as varies inversely as )

- , where is the constant of variation

For example, the number of days required to build a bridge varies inversely to the number of workers. As the number of workers increases, the number of days required to build would decrease.

varies inversely as , and when .

**(a)**Find a formula connecting and**(b)**Determine when**(c)**Determine when

**(a)**

**(b)** Find the value of : , so

Using the formula, and constant , find the missing value of when :

**(c)**

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