Question

Suppose that x and y vary inversely and that y=1/6 when x = 3. Write a function that models the inverse variation and find y when x = 10.

Answer 1

Important part is initial construction. Just get it stuck in your head.

"x and y vary inversely "

The MEANS \(y = \dfrac{k}{x}\;or\;x = \dfrac{m}{y}\), where k and m are constants that are yet to be determined.

After writing that down, you can proceed with the solution.