Question

If y varies inversely as x, and y = 12 as x = 2, find y for the x-value of 6

Answer 1

inverse variation is as follow:
\[y=\frac{k}{x}\] if y=12 and x=2 then \[12=\frac{k}{2} \Longrightarrow k=24\]
so our equation is \[y=\frac{24}{x}\]
if x=6 find y
plug 6 into the equation