Final answer:
To solve the problem, we can use the equation p = k/q^2. By substituting the given values and solving for k, we can determine the value of p when q is 6.
Step-by-step explanation:
To solve this problem, we can use the equation for inverse variation, which is p = k/q^2. We know that when p is 18, q is 4, so we can substitute these values into the equation to find the value of k:
18 = k/4^2
18 = k/16
Next, we can solve for k by multiplying both sides of the equation by 16:
18 * 16 = k
k = 288
Now that we know the value of k, we can use it to find p when q is 6:
p = 288/6^2
p = 288/36
p = 8