If x varies inversely as y and x = 2 when y = 6, then the value of y when x = 3 is:

Correct option is C

Given:

x varies inversely as y

x = 2 when y = 6

Solution:

When x varies inversely as y, then

​$$x=\frac{k}{y}$$​​

When x = 2 and y = 6, then

​$$2=\frac{k}{6}$$​​

​$$k=6\times 2 = 12$$​​

Same way when x = 3, then

​$$3=\frac{12}{y}$$​​

​$$y=\frac{12}{3}=4$$​​