4024/12 Oct/Nov 2022, Question 18: Proportion to Powers of x
Cambridge O Level Mathematics 4024 · Paper 12 (Non-calculator) · Non-calculator · 2 marks
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The question, in short
Given that x varies as the square of (y + 1), and x = 45 when y = 2, work out the value of x at y = 4.
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Solution · 2 marks
- 1x = k(y + 1)²
- 245 = k(2 + 1)² = 9k, so k = 5
- 3x = 5(4 + 1)² = 5 × 25 = 125
Answer125
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