0580/21 May/Jun 2022, Question 25: Proportion to Powers of x
Cambridge IGCSE Mathematics 0580 · Paper 21 (Extended) · Calculator · 3 marks
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The question, in short
Given w proportional to the square root of y and y inversely proportional to x, with x = 4, y = 16, w = 8, find w in terms of x.
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Solution · 3 marks
- 1y = c/x: 16 = c/4, so c = 64 and y = 64/x
- 2w = k√y: 8 = k√16 = 4k, so k = 2
- 3w = 2√(64/x) = 2 × 8/√x
- 4w = 16/√x
Answer16/√x
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Also searched as: 0580/21/M/J/22 · 0580_s22_qp_21 · 0580 s22 21 · question 25.
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