Question

If y varies inversely as x and y = 2 when x = 1, find x when y is 4

Answer 1

`x=(1)/(2)`

Explanation:

If y varies inversely as x , then;

`y=(k)/(x)`

where k is the constant of variation;

When x=1, y=2,

`2=(k)/(1)`

This implies that;

k=2

The variation equation is

`y=(2)/(x)`

When y=4,

`4=(2)/(x)`

`x=(2)/(4)`

`x=(1)/(2)`