4MA1/2H Jun 2022, Question 17: Proportion to Powers of x
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2H (Higher) · Calculator · 4 marks
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The question, in short
Given M varies directly as h cubed and M = 4 when h = 0.5, find h when M = 500.
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Solution · 4 marks
- 1M = kh³
- 24 = k(0.5)³
- 34 = k(0.125)
- 4k = 4 / 0.125
- 5k = 32
- 6500 = 32h³
- 7h³ = 500 / 32
- 8h³ = 15.625
- 9h = ∛15.625
- 10h = 2.5
Answer2.5
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