Inverse-square and combined variation

Inverse-square and combined variation

Secondary 2
TGM Original Questions
  1. The quantity \(y\) is inversely proportional to \(x^2\). For one value of \(x\), \(y=12\). Find \(y\) when that \(x\)-value is doubled.
  2. 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. Find \(m\) when \(y=5,t=16\).

Solution:

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Answer:(a) \(y=3\); (b)(i) \(y=\frac{4m}{\sqrt t}\); (ii) \(m=5\).

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