0580/23 Oct/Nov 2022, Question 17: Proportion to Powers of x
Cambridge IGCSE Mathematics 0580 · Paper 23 (Extended) · Calculator · 3 marks
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The question, in short
Given y proportional to (x − 7)², with y = 2 when x = 12, find the value of y when x = 17.
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Solution · 3 marks
- 1y = k(x − 7)²
- 22 = k(12 − 7)² = 25k, so k = 2/25
- 3y = 2/25 × (17 − 7)² = 2/25 × 100 = 8
Answer8
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Also searched as: 0580/23/O/N/22 · 0580_w22_qp_23 · 0580 w22 23 · question 17.
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