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If y ∝ \(\frac{1}{x^2}\) and x = 3, when y = 4, find y when x...

Mathematics
WAEC 2025

If y ∝ \(\frac{1}{x^2}\) and x = 3, when y = 4, find y when x = 2

  • A. 3
  • B. 9
  • C. 1
  • D. 18
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Correct Answer: Option B
Explanation

y ∝ \(\frac{1}{x^2}\)

 y = \(\frac{\text{k}}{x^2}\)

 When x = 3, y = 4.

y = \(\frac{\text{k}}{x^2}\)

 4 = \(\frac{\text{k}}{9}\)

k = 36.

When x = 2,

y = \(\frac{36}{4}\) = 9


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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 127076
WAEC offline past questions - with all answers and explanations in one app - Download for free
WAEC and NECO CBT App for Mobile Devices - Candidates, Schools, Centres, Resellers - 100% Offline -Download Now
WAEC and NECO CBT Software for Computers and Laptops - Candidates, Schools, Centres, Resellers - 100% Offline -Download Now
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WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 127076
Post UTME Past Questions Agent
WAEC offline past questions - with all answers and explanations in one app - Download for free
WAEC and NECO CBT Software for Computers and Laptops - Candidates, Schools, Centres, Resellers - 100% Offline -Download Now