Choosing a proportion model

Choosing a proportion model

Secondary 2

The sketches show three graphs, A, B and C. Graph B is a hyperbola that approaches both axes but never meets them.

A

B

C

  1. For each graph, state whether \(y\) is directly proportional to \(x\), inversely proportional to \(x\), or neither. Give a reason.
  2. For each proportional relationship, find the equation connecting \(x\) and \(y\).

Solution:

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Answer:(a) A: direct; B: inverse; C: neither (b) A: \(y=4x\); B: \(y=\dfrac{18}{x}\)

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