4024/12 May/Jun 2023, Question 22: Proportion to Powers of x
Cambridge O Level Mathematics 4024 · Paper 12 (Non-calculator) · Non-calculator · 4 marks
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The question, in short
Given y proportional to w² and x inversely proportional to w, with w = 10 giving y = 5 and x = 0.4, express y as a formula in x in simplest form.
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Solution · 4 marks
- 1y = kw²: 5 = k × 10², so k = 1/20 and y = w²/20
- 2x = c/w: 0.4 = c/10, so c = 4 and x = 4/w
- 3So w = 4/x
- 4y = (4/x)²/20 = 16/(20x²)
- 5y = 4/(5x²)
Answer4/(5x²) or 0.8/x²
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Also searched as: 4024/12/M/J/23 · 4024_s23_qp_12 · 4024 s23 12 · question 22.
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