0580/43 May/Jun 2025, Question 15: Inverse Proportion: y = k/x
Cambridge IGCSE Mathematics 0580 · Paper 43 (Extended) · Calculator · 3 marks
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The question, in short
Given that m varies inversely with the square root of t + 2, and m = 0.5 at t = 23, work out the value of m at t = 98.
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Solution · 3 marks
- 1m = k/√(t + 2)
- 20.5 = k/√(23 + 2) = k/5, so k = 2.5
- 3m = 2.5/√(98 + 2) = 2.5/10
- 4m = 0.25
Answer0.25 or 1/4
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