Respuesta :

The equation is given as W varies directly with u and inversely with d, then the equation is written as:
W = k1u
here k2 is the proportionality constant.
and p = k2[tex] \frac{1}{d} [/tex]here k2 is the proportionality constant.
Thus, combining both equations we get, p = K[tex] \frac{u}{d} [/tex]where K = K1*K2, is the proportionality constant.

Answer:

[tex]W=\frac{u}{d}[/tex]

Explanation:

The definition of directly and indirectly proportional is mentioned below.

Directly proportional:

  • On increasing of a quantity if the other quantity increases with the same rate then they are directly proportional to each other. The sign for directly proportional is ∝.
  • If x is directly proportional to y then x ∝ y

Indirectly proportional:

  • On increasing of a quantity if the other quantity decreases with the same rate then they are directly proportional to each other.
  • If x is indirectly proportional to y then x ∝ 1/y

Further Explanation:

It has been given that W varies directly with u and inversely with d. So, from the above mentioned definitions, we have

[tex]W\propto\frac{u}{d}[/tex]

Removing the proportionality sign and add a constant k

[tex]W=\frac{u}{d}[/tex]

Therefore, the required equation is

[tex]W=\frac{u}{d}[/tex]

Learn More:

https://brainly.com/question/4838941 (Answred by brainly user)

https://brainly.com/question/10675832 (Answred by Carlosego)

Keywords:

Direct Variation, Indirect variation, directly proportional, indirectly proportional

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