p varies directly with the square of d and inversely with u, in your equation, use k as the constant of proportionality

Answer 1

p varies directly with the square of d and inversely with u, in your equation, use k as the constant of proportionality

If 2 numbers / variables vary directly, then they are both in the numerator [or denominator] of the fraction on each side of the equals sign.

If 2 numbers / variables vary indirectly, then one is in the numerator & the other is in the denominator of the fraction on respective sides of the equals sign..

In this case, p is the only quantity on the left side of the equation.

FIrst step:

p =

Second step:

let k = constant of proportionality [written before the fraction on the right side of the equation].

p = k

Third step:

Set up the equation on the right side of the equation, with

d^2 in the numerator [directly] & u in the denominator [indirectly]

p = k (d^2 / u)

p/1 = k (d^2 / u)

Then solve for k by cross-multiplying, etc.

k = (up) / (d^2)

Answer 2

p=kd²(1/u)

p=kd²/u