suppose that p and q vary inversely and p=12 when q=3. Find p when q=6 show all your work.
A)p=15
B)p=24
C)p=6
D)p=7
To find the value of p when q is 6, we can use the inverse variation formula:
p * q = k
where k is the constant of variation.
Given that p = 12 when q = 3, we can substitute these values into the formula to solve for k:
12 * 3 = k
36 = k
Now we can use the value of k to find p when q = 6:
p * 6 = 36
p = 36 / 6
p = 6
Therefore, the value of p when q is 6 is 6, so the answer is C) p = 6.