1. To solve this problem and calculate the value of "x" when "y" is 14.4, you must apply the following formulla:
y=k/x
k: It is the constant of variation or constant of proportionality.
2. So, keeping this on mind, you must calculate the value o the constant of variation "k", with the values given in the problem. Then, you have:
k=yx
k=(6)(12)
k=32
3. Now, you can apply the equation y=k/x and clear the "x" to find its value:
yx=k
x=k/y
k=32
y=14.4
4. Then, you have:
x=32/14.4
5. Therefore, the answer is:
x=2.22