Inverse Variation Involving Linear Expressions

Inverse Variation Involving Linear Expressions

Secondary 2

Two quantities, \(\left( x+1 \right)\) and \((y-2)\) are in inverse proportion. Values of \(x\) and \(y\) are shown in the table below.

\(x\)\(1\)\(3\)\(b\)
\(y\)\(10\)\(a\)\(30\)
  1. Find the equation connecting \(\left( x+1 \right)\) and \((y-2)\).
  2. Hence, find the values of \(a\) and \(b\).

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Answer:(a) \(x + 1 = \frac{16}{(y-2)}\), (b) \(a = 6, b = -\frac{3}{7}\)

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