4024/12 Oct/Nov 2021, Question 23: Inverse Proportion: y = k/x
Cambridge O Level Mathematics 4024 · Paper 12 (Non-calculator) · Non-calculator · 3 marks
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The question, in short
Given y inversely proportional to (x + 1)², with y = 5 when x = 1, find y when x = 9.
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Solution · 3 marks
- 1y = k/(x + 1)²
- 25 = k/(1 + 1)² → k = 5 × 4 = 20
- 3y = 20/(9 + 1)² = 20/100 = 1/5
Answer1/5
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