# If y varies directly as x and inversely as the square of z and y=6 when x=64 and z =8, how do you find y when x = 21 and z=2?

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If y varies directly as x and inversely as the square of z and y=6 when x=64 and z =8, how do you find y when x = 21 and z=2?

##### 1 Answer

May 29, 2018

#### Explanation:

For y to vary directly with x and inversely with the square of z, we can write

We are told that

Therefore

When

Incidentally your question is similar to https://socratic.org/questions/y-varies-directly-as-x-and-inversely-as-the-square-of-z-y-12-when-x-64-and-z-4-h