0580/21 May/Jun 2023, Question 14: Proportion to Powers of x
Cambridge IGCSE Mathematics 0580 · Paper 21 (Extended) · Calculator · 3 marks
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The question, in short
Given y proportional to (x + 3)², with y = 5 when x = 2, find y when x = 1.
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Solution · 3 marks
- 1y = k(x + 3)²
- 25 = k(2 + 3)² = 25k, so k = 0.2
- 3y = 0.2 × (1 + 3)² = 0.2 × 16
- 4y = 3.2
Answer3.2
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