Answer:
The inverse variation equation can be used to model this function is:

Explanation:
An inverse relationship between two variables implies that if the value of one variable increases the value of the other variable will decreases and vice-versa.
The inverse function describing the relationship between x and y is as follows:

Here, a is a constant.
It is provided that when the value of x is 3 the value of y is 16.
Compute the value of a as follows:



It is also provided that when the value of x is 6 the value of y is 8.
Compute the value of a as follows:



The value of a is 48.
Then the inverse variation equation can be used to model this function is:
