Joint variation with a square root

Joint variation with a square root

Secondary 2
4 marks
TGM Original Questions

Optional extension

The quantity \(y\) varies directly with \(m\) and inversely with \(\sqrt{t}\), and \(y=6\) when \(m=3,t=4\).

  1. Write a relationship connecting \(y,m,t\).[2]
  2. Find \(m\) when \(y=5,t=16\).[2]

Solution:

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Answer:(i) \(y=\dfrac{4m}{\sqrt t}\) (ii) \(m=5\).

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