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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