Answer :

z = 20 x/y is the variation of equation.

How to write the function that models the relationship?

A relationship between a set of values for one variable and a set of values for other variables is known as a variation.

One of the most fundamental concepts in mathematics is the idea of a function, in part because functions are a useful tool for describing and illuminating patterns.

given that

z=30 when x=3 and y=2

z varies directly with x that means z is directly proportional to x.

z = kx .................(1)

z varies inversely with y means z is inversely proportional to y.

z = k 1/y ................(2)

both equation 1 and 2

z = k x/y

k = zy/x

now, find the value of k using given information.

k = 30(2)/3

k = 60/3

k = 20

now,

z = k x/y

z = 20 x/y

This is the variation of equation.

Learn more about variation equations from here:

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