suppose that p and q vary inversely and p=12 when 9=3. Find p when q=6. Show all your work.
A)p=15
B)p=24
C)p=6
D)p=7
If p and q vary inversely, it means that their product is always the same. We can write this as p*q = k, where k is a constant.
From the given information, p = 12 when q = 9. So, we have 12*9 = k. Therefore, k = 108.
To find p when q = 6, we can use the value of k. p*q = k, so p*6 = 108. Dividing both sides by 6 gives p = 18.
Therefore, p = 18 when q = 6. None of the given answer choices (A, B, C, D) are correct.