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4MA1/2H Jun 2024, Question 17: Proportion to Powers of x

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2H (Higher) · Calculator · 3 marks

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The question, in short

Q varies directly with the square root of d, and Q = 4.5 when d = 324. Find a formula expressing Q in terms of d.

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Solution · 3 marks

  1. 1Q = k√d
  2. 24.5 = k√324
  3. 3√324 = 18
  4. 44.5 = k × 18
  5. 5k = 4.5 / 18 = 0.25
  6. 6Q = 0.25√d

AnswerQ = 0.25√d

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