Suppose that p and q vary inversely and p=12 when q=3. Find p when q=6

Since p and q vary inversinverse, we can write this relationship as:

p * q = k

where k is a constant.

Given that p = 12 when q = 3, we can plug these values into the equation to find the value of k:

12 * 3 = k
36 = k

Now we can use this value of k to find p when q = 6:

p * 6 = 36
p = 36 / 6
p = 6

Therefore, when q = 6, p is equal to 6.