To solve this problem, we can use the inverse proportionality relationship between p and the square of q.
Given that p is inversely proportional to the square of q, we can write the proportionality as:
p = k / q^2, where k is the constant of proportionality.
1. Using the given values where p = 22 and q = 8, we can find the value of k:
22 = k / 8^2
22 = k / 64
k = 22 * 64
k = 1408
2. Now that we have found the value of k, we can determine p when q is equal to 4:
p = 1408 / 4^2
p = 1408 / 16
p = 88
Therefore, when q is equal to 4, p is equal to 88.
