# Suppose that x and y vary inversely and that x = 2 when y = 8. How do you write the function that models the inverse variation?

The variation equation is $x \cdot y = 16$
x prop 1/y or x =k*1/y ;x =2; y=8 :. 2=k*1/8 or k=16 (k is constant of proportionality) So the variation equation is $x = \frac{16}{y} \mathmr{and} x \cdot y = 16$[Ans]