Given:
u varies directly with the square of p and inversely with d.
To find:
The equation for the given situation.
Solution:
If y is directly proportional to x, then
[tex]y\propto x[/tex]
If y is inversely proportional to x, then
[tex]y\propto \dfrac{1}{x}[/tex]
It is given that u varies directly with the square of p and inversely with d. So,
[tex]u\propto \dfrac{p^2}{d}[/tex]
It can be written as:
[tex]u=k\dfrac{p^2}{d}[/tex]
Where, k is the constant of proportionality.
Therefore, the required equation is [tex]u=\dfrac{kp^2}{d}[/tex].
