4024/23 May/Jun 2026, Question 20: Proportion to Powers of x
Cambridge O Level Mathematics 4024 · Paper 23 (Calculator) · Calculator · 3 marks
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The question, in short
Given a inversely proportional to the cube of c, with a = −200 when c = 0.1, find the value of a when c = 2.
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Solution · 3 marks
- 1a = k/c³
- 2−200 = k ÷ 0.1³, so k = −200 × 0.001 = −0.2
- 3a = −0.2 ÷ 2³ = −0.2 ÷ 8
- 4a = −0.025
Answer−1/40 or −0.025
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Also searched as: 4024/23/M/J/26 · 4024_s26_qp_23 · 4024 s26 23 · question 20.
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