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If x and y vary inversely as other and  x = 30, find y when constant of variation = 900.

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Question

If x and y vary inversely as other and  x = 30, find y when constant of variation = 900.

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Solution

\[ \text{ Given: } \]
\[x = 30 \text{ and }  k = 900\]
\[ \therefore xy = k\]
\[ \Rightarrow 30y = 900\]
\[ \Rightarrow y = \frac{900}{30}\]
\[ = 30\]
\[ \therefore y = 30\]

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