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0580/22 Feb/Mar 2024, Question 22: Inverse Proportion: y = k/x

Cambridge IGCSE Mathematics 0580 · Paper 22 (Extended) · Calculator · 2 marks

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The question, in short

Given y inversely proportional to the square of (x + 3), and y = 0.375 when x = 5, find y in terms of x.

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Solution · 2 marks

  1. 1y = k/(x + 3)²
  2. 20.375 = k/(5 + 3)² = k/64
  3. 3k = 0.375 × 64 = 24
  4. 4y = 24/(x + 3)²

Answer24/(x + 3)²

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Also searched as: 0580/22/F/M/24 · 0580_m24_qp_22 · 0580 m24 22 · question 22.
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