Answer:
- p varies inversely with t⁴
Step-by-step explanation:
Direct variation:
- y = kx, where k is constant
Inverse variation:
- y = k/x, where k is constant
Given:
and
From the first equation we can see:
- kq = p ⇒ q = (1/k)p ⇒ q = np, where n is a constant
It means if p varies directly as q, then q directly varies as p.
Square the second equation:
- q = k²/t⁴ = m / t⁴, where m is constant
Since p varies directly as q and q varies inversely with t⁴, we can state p varies inversely with t⁴.
