0580/21 Oct/Nov 2022, Question 23: Proportion to Powers of x
Cambridge IGCSE Mathematics 0580 · Paper 21 (Extended) · Calculator · 3 marks
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The question, in short
Given y inversely proportional to √x and x directly proportional to w², with y = 12 when w = 12, find y as an expression in w.
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Solution · 3 marks
- 1y = j/√x and x = cw²
- 2√x = √c × w, so y = k/w
- 312 = k/12, so k = 144
- 4y = 144/w
Answer144/w
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Also searched as: 0580/21/O/N/22 · 0580_w22_qp_21 · 0580 w22 21 · question 23.
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