Suppose that x and y vary inversely and x = 1 when y = 12. Write a function that models the inverse variation. Graph the function and find y when x = 20.
Write a function that models the inverse variation.
An inverse variation in its generic form can be for example: y = k / x We observe that we must find the value of k. For this, we use the following fact: "x = 1 when y = 12" Substituting we have: 12 = k / 1 Therefore k = 12 Thus, the equation is: y = 12 / x For x = 20 we have: y = 12/20 y = 6/10 y = 3/5 y = 0.6 Answer: when x = 20, and is: y = 0.6 See attached graph.
