0580/23 May/Jun 2023, Question 18: Inverse Proportion: y = k/x
Cambridge IGCSE Mathematics 0580 · Paper 23 (Extended) · Calculator · 3 marks
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The question, in short
Given that y varies inversely with the cube root of (x + 5), and y = 12 when x = 3, work out the value of y at x = 22.
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Solution · 3 marks
- 1y = k/∛(x + 5)
- 212 = k/∛(3 + 5) = k/2, so k = 24
- 3y = 24/∛(22 + 5) = 24/3
- 4y = 8
Answer8
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