If p is inversely proportional to the square of q, and p is 19 when q is 8, determine p when q is equal to 3

p == k * q^2 k==constant of proportionality

19==k * 8^2, solve for k

K==19 / 64

p ==19/64 * 3^2 ==171 / 64 ==2 + 43/64

p = k / q^2

19==k /8^2==k / 64, solve for k

k ==64 *19 ==1,216

p =1,216 / 3^2 ==1,216 / 9 ==135 + 1/9

Note: Forget the first solution.