Given that r is directly proportional to y and inversely proportional to Z,
x= 15 when y = 10 and Z= 4, find
the equation connecting x, y and Z.​

Given:

x is directly proportional to y and inversely proportional to z.

x= 15 when y = 10 and z= 4.

To find:

The equation that connecting x, y and z.​

Solution:

It is given that, x is directly proportional to y and inversely proportional to z.

             ...(i)

Where, k is the constant of proportionality.

We have, x= 15 when y = 10 and z= 4.

Divide both sides by 10.

Putting k=6 in (i), we get

Therefore, the required equation is .

step-by-step explanation:

y=mx+b