If y varies inversely as x and y is 6 when x is 12 what is x when y is 14.4

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