4MA1/1H Jan 2022, Question 15: 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 A inversely proportional to C², with A = 40 when C = 1.5, find the value of C when A = 1000.
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Solution · 3 marks
- 1A = k/C², so 40 = k ÷ 1.5²
- 2k = 40 × 2.25 = 90
- 31000 = 90/C², so C² = 90 ÷ 1000 = 0.09
- 4C = √0.09 = 0.3
Answer0.3
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