4MA1/1H Jan 2023, Question 17: Inverse Proportion: y = k/x
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1H (Higher) · Calculator · 3 marks
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The question, in short
Given that y varies inversely with the square root of x, and y equals c⁴ when x equals c² for positive constant c, derive a simplified formula expressing y using x and c.
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Solution · 3 marks
- 1y is inversely proportional to √x, so y = k/√x
- 2When x = c², √x = √(c²) = c, and y = c⁴
- 3c⁴ = k/c
- 4k = c⁴ × c = c⁵
- 5y = c⁵/√x
Answery = c⁵/√x
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