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y is inversely proportional to x and y = 4, when x = \(\frac{1}{2}\), find...

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JAMB 2024

y is inversely proportional to x and y = 4, when x = \(\frac{1}{2}\), find x when y = 10

  • A. 2
  • B. 10
  • C. \(\frac{1}{5}\)
  • D. \(\frac{1}{10}\)
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Correct Answer: Option C
Explanation

y ∝ \(\frac{1}{x}\)

y = \(\frac{k}{x}\)

y = 4, x = \(\frac{1}{2}\), find x when y = 10

4 = \(\frac{k}{\frac{1}{2}}\)

k = 2

Therefore, x = \(\frac{2}{10} = \frac{1}{5}\)

There is an explanation video available below.


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Explanation Video

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