Answer:
[tex]y = \frac{12}{x} [/tex]
y= 4
Step-by-step explanation:
Since x and y are inversely proportional to each other,
[tex]y = \frac{k}{x} ,where \: k \: is \: a \: constant.[/tex]
Let's find the value of k.
When y= 6, x= 2,
[tex]6 = \frac{k}{2} [/tex]
k= 6(2)
k= 12 (×2 on both sides)
Substitute the value of k back into the equation:
[tex]y = \frac{12}{x} [/tex]
When x=3,
[tex]y = \frac{12}{3} [/tex]
y= 4