4024/11 May/Jun 2020, Question 20: Inverse Proportion: y = k/x
Cambridge O Level Mathematics 4024 · Paper 11 (Non-calculator) · Non-calculator · 3 marks
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The question, in short
Given y inversely proportional to √x, use the table values x=4, y=3 to find c when x=9 and d when y=0.6.
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Solution · 3 marks
- 1y = k/√x
- 23 = k/√4, so k = 3 × 2 = 6
- 3c = 6/√9 = 6/3 = 2
- 40.6 = 6/√d, so √d = 6 ÷ 0.6 = 10
- 5d = 10² = 100
- 6c = 2, d = 100
Answerc = 2, d = 100
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