4024/11 Oct/Nov 2024, Question 19: Inverse Proportion: y = k/x
Cambridge O Level Mathematics 4024 · Paper 11 (Non-calculator) · Non-calculator · 2 marks
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The question, in short
Given x inversely proportional to √y, with x = 2 when y = 16, find the value of y when x = 32.
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Solution · 2 marks
- 1x = k/√y: 2 = k/√16 so k = 8
- 232 = 8/√y so √y = 8/32 = 1/4
- 3y = 1/16
Answer1/16
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