Question

Given that x varies inversely as y and when x = 5, y = 50 find y when x =2

Answer 1

Step-by-step explanation:

$x \alpha \frac{1}{y} \\ x = \frac{k}{y} \\ 5 = \frac{k}{50} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: k = 250 \\ 2 = \frac{250}{y} \\ y = \frac{250}{2} \\ y = 125$