Given
u varies directly with the square of p.
To write an equation that expresses the following relationship.
Explanation:
It is given that,
u varies directly with the square of p.
That implies,
[tex]u\propto p^2[/tex]Then, for the constant of proportionality.
[tex]\begin{gathered} u=kp^2 \\ \frac{u}{p^2}^{}=k \end{gathered}[/tex]Hence, the equation is k=u/p^2.