Question on: JSS3 Mathematics - Variations

If ๐‘ง varies jointly as ๐‘ฅ and ๐‘ฆ, and ๐‘ง=36 when ๐‘ฅ=3 and ๐‘ฆ=4, find ๐‘ง when ๐‘ฅ=6 and ๐‘ฆ=2.

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Given ๐‘ง=๐‘˜๐‘ฅ๐‘ฆ, substituting the given values:

36=๐‘˜โ‹…3โ‹…4

Solving for ๐‘˜: ๐‘˜=36/12

=3

Now, find ๐‘ง when ๐‘ฅ=6 and ๐‘ฆ=2:

๐‘ง=3โ‹…6โ‹…2=36

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