Z varies directly as x and inversely as y. If z=226 z=226 when x=3 x=3 and y=8 y=8 , find z if x=7 x=7 and y=9 y=9 . (Round off your answer to the nearest hundredth.

468.74.

Step-by-step explanation:

We have been given that z varies directly as x and inversely as y.  We can represent this information in an equation as:  

First of all, we will find constant of variation using our given equation.

Upon substituting our given values in our equation, we will get:

Therefore, z is approximately 468.74.

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