m is inversely proportional to the square of p-1 when p=4 m=5 find m when p=6

m is inversely proportional to the square of p-1 when p=4 and m=5. find m when p=6

Inversely proportional means there is a constant k such that:
m = k/(p - 1)^2

When p = 4 and m = 5, we have:
5 = k/(4 - 1)^2
5 = k/3^2
5 = k/9

Cross multiply:
k = 45

The problems asks for m when p = 6. And we also now know that k = 45. So plug in the numbers:
m = k/(p - 1)^2
m = 45/(6 - 1)^2
m = 45/5^2
m = 45/25
m = 1.8