When x = 3, y = 16 and when x = 6, y = 8. which inverse variation equation can be used to model this function?

we know that

A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form y*x=k or y=k/x

so

for x = 3, y = 16 > 16*3=48

and when

x = 6, y = 8> 8*6=48

the value of k=48

the inverse variation equation is

y=48/x

therefore

the answer is

y=48/x

your answer would be 10x - 1