0580/22 May/Jun 2023, Question 19: Inverse Proportion: y = k/x
Cambridge IGCSE Mathematics 0580 · Paper 22 (Extended) · Calculator · 3 marks
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The question, in short
Given that m varies inversely with the square of (t + 2), and m = 0.64 at t = 3, work out the value of m at t = 8.
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Solution · 3 marks
- 1m = k/(t + 2)²
- 20.64 = k/(3 + 2)², so k = 0.64 × 25 = 16
- 3m = 16/(8 + 2)² = 16/100
- 4m = 0.16
Answer0.16
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