4024/12 May/Jun 2022, Question 15: 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 y is directly proportional to (x − 1)², and y = 32 when x = 5, find y when x = −2.
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Solution · 2 marks
- 1y = k(x − 1)²
- 232 = k(5 − 1)² = 16k, so k = 2
- 3y = 2(−2 − 1)² = 2 × 9
- 4y = 18
Answer18
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