Question

Write an equation that expresses the following relationship.u varies directly with the square of pIn your equation, use k as the constant of proportionality.

Answer 1

Given

u varies directly with the square of p.

To write an equation that expresses the following relationship.

Step-by-step explanation:

It is given that,

u varies directly with the square of p.

That implies,

`u\propto p^2`

Then, for the constant of proportionality.

`\begin{gathered} u=kp^2 \\ (u)/(p^2)^{}=k \end{gathered}`

Hence, the equation is k=u/p^2.