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4024/11 Oct/Nov 2023, Question 17: Proportion to Powers of x

Cambridge O Level Mathematics 4024 · Paper 11 (Non-calculator) · Non-calculator · 2 marks

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The question, in short

Given that y varies directly with the square root of x, and y = 2 when x = 16, work out the value of y at x = 25.

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Solution · 2 marks

  1. 1y = k√x
  2. 22 = k√16 = 4k, so k = 1/2
  3. 3y = 1/2 × √25 = 5/2

Answer5/2

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