Proportion Equations - Advanced Algebra - Lecture Handout, Exercises of Calculus

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Advanced Algebra Section 9.5 LT: Write & solve variation (or proportion) equations Notes © Types... CecogseFien) o Direct variation: y = kx a. k 6 Inverse variation: y = — x o Joint variation: y = kxz e kisaconstant; x, y, &zare variables e Useknown x & y to find k @ Once you know k, use the equation to find other values Examples Solve. 1) If rvaries directly as x and r=-20 when x =4, find rwhen x =-6. r=\4x v= -Sx — %e =r) v=-O(-b) \=-5 [x = 30] 2) Suppose r varies jointly as vand x. Find rwhen v= 2 and x= 8, if r=70whenv=10andx =4. r= lene Crewertey CErnd D> vey x Wo=kKOOM) 1.2.2.8 _29 ee eo. 1 4o 7 3) If x varies inversely as y and x = 24 when y = 4, find x when y = 12. ¥ i alts os. “2 | _ 46 4 ued =z voit. Atak Example Answers 1. 30 2. 28 3. 8 1/2