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

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

The correct answer is: C

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 .