Wvaries jointly as x and y and inversely as the square of z. if w=280 when x=30, y=12, and z=3, find w when x=20, y=10, and z=2.

W = 350

Step-by-step explanation:

W varies jointly as X and Y and inversely as the square of Z.

That means W ∝

Or W =

Where k is the proportionality constant.

Now as per statement we will plug in the values

W = 280, X = 30, Y = 12 and Z = 3 to find the value of constant k

280 =

k =

k = 7

Now we plug in the values

X = 20, Y = 10, Z = 2 and K = 7 to find the value of W.

W =

   =

   = 350

Therefore, W = 350 is the answer.

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