Given y inversely proportional to x and x = 3 for y = 6, what is x if y = 9? Algebra Graphs of Linear Equations and Functions Direct Variation 1 Answer G_Dub Apr 6, 2018 x=2x=2 Explanation: If yy is inversely proportional to xx, then y=k/xy=kx for some value kk. When x=3x=3, y=6y=6. So 6=k/3=>k=186=k3⇒k=18 therefore y=18/x If y=9, 9=18/x=>x=2 Answer link Related questions What is Direct Variation? What does direct variation look like on a graph? What are examples of direct variation? How do you determine if a function is a direct variation when given a table? How do you write direct variation equations? What is the constant of proportionality "k"? Why is y=2x-1 not a direct variation? How do you graph the direct variation equation y=-\frac{1}{6}x? What is the direct variation equation if y varies directly with x, and y=7.5 when x=2.5? What is the direct variation equation if y varies directly with x, and y=2 when x=4? See all questions in Direct Variation Impact of this question 6443 views around the world You can reuse this answer Creative Commons License