y is inversely proportional to x and y = 4, when x = 12 1 2 , find x when y = 10

y is inversely proportional to x and y = 4, when x = 12 $\frac{1}{2}$, find x when y = 10

Answer Details

Explanation

y ∝ 1x $\frac{1}{x}$

y = kx $\frac{k}{x}$

y = 4, x = 12 $\frac{1}{2}$, find x when y = 10

4 = k12 $\frac{k}{\frac{1}{2}}$

k = 2

Therefore, x = 210=15