Answer:
The Inverse variation states a relationship between the two variable in which the product is constant.
i.e
then the equation is of the form: where k is the constant of variation.
As per the given information: It is given that x and y vary inversely and that y = 1/6 when x = 3.
then, by definition of inverse variation;
xy = k ......[1]
Substitute the given values we have;
Now, find the value of y when x = 10.
Substitute the given values of x=10 and k = 1/2, in [1] we have;
Divide both sides by 10 we get;
therefore, a function that models the inverse variation is; and value of
when x = 10.