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=2# Explanation: If #y# is inversely proportional to #x#, then #y=k/x# for some value #k#. When #x=3#, #y=6#. So #6=k/3=>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 6053 views around the world You can reuse this answer Creative Commons License