Suppose that r varies directly as p and inversely as q², and that r=27 when p=3 and q=2. How do you find r when p=2 and q=3? Algebra Graphs of Linear Equations and Functions Direct Variation 1 Answer Binayaka C. Jul 28, 2016 When #p=2 ; q=3; r=8# Explanation: #rpropp ; r prop 1/q^2 :.r prop p/q^2 or r=k*p/q^2 ; r=27 ; p=3 and q=2 :. 27=k*3/2^2 or k=27*4/3=36#Hence the variation equation is #r=36*p/q^2 :.#When #p=2 ; q=3; r=36*2/3^2=8#[Ans] 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 3878 views around the world You can reuse this answer Creative Commons License