4024/11 May/Jun 2024, Question 18: Proportion to Powers of x
Cambridge O Level Mathematics 4024 · Paper 11 (Non-calculator) · Non-calculator · 3 marks
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The question, in short
Given p is directly proportional to q², use the table values p = 12, 48 and q = 2, 7 to calculate the missing values a and b.
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Solution · 3 marks
- 1p = kq²: 12 = k × 2², so k = 3
- 2a = 3 × 7² = 147
- 348 = 3b², so b² = 16
- 4a = 147, b = ±4
Answera = 147 and b = ±4
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Also searched as: 4024/11/M/J/24 · 4024_s24_qp_11 · 4024 s24 11 · question 18.
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