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If varies jointly as and and 36 when 3 and 4 fi... - JSS3 Mathematics Variations Question

If 𝑧 varies jointly as 𝑥 and 𝑦, and 𝑧=36 when 𝑥=3 and 𝑦=4, find 𝑧 when 𝑥=6 and 𝑦=2.

Given 𝑧=𝑘𝑥𝑦, substituting the given values:

36=𝑘⋅3⋅4

Solving for 𝑘: 𝑘=36/12

=3

Now, find 𝑧 when 𝑥=6 and 𝑦=2:

𝑧=3⋅6⋅2=36

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