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Question 1a is directly proportional to b such that a = 2b.Find a when b = 3Find b when a = 7 Question 2c is directly proportional to d such that c = 1.5d.Find c when d = 12Find d when c = 15Question 3T is directly proportional to V such that T = 8VFind T when V = 7Find V when T = 24Question 4A is directly proportional to B. When A = 28, B = 7.Find an equation for A in terms of BFind A when B = 12Find B when A = 13Question 5Y is directly proportional to X. When Y = 108, X = 9.Find an equation for Y in terms of B.Find Y when X = 5Find X when Y = 24Question 6U is directly proportional to T.When U = 36, T = 4Find an equation for U in terms of T.Find U when T = 7Find T when U = 108Question 7R is directly proportional to S.When R = 9, S = 1.5.Find an equation for R in terms of S.Find R when S = 8Find S when R = 15Question 8The distance (d) a weighted ball falls in water in metres is directly proportional to the time (t) it takes to drop in seconds.When the ball falls 20m, it takes 10 seconds.Find an equation for d in terms of t.Calculate how long it takes the ball to drop through 14 metres of water.Question 9The weight (w) in grams of a piece of wire is directly proportional to its length (l) in cm. A piece of wire is 25cm long and has a weight of 5 grams. Find an equation for W in terms of D. Find the weight of a 30cm piece of wire.Question 10Time (T) taken for a water heater to boil water is directly proportional to the Power (P) in watts of the water heater.When P = 1300, T = 650.Find the value for T when P = 900.5665831-40487y = kx00y = kxDirect Proportion. 5696730-121285y = k x00y = k xIndirect (Inverse) Proportion.Question 1Y is inversely proportional to plete the table of values below.Make sure that your write the formula clearly.Question 2A is inversely proportional to B.When A = 4, B = 7B74?A4?56Write an equation for A in terms of plete the table of values for A and B.Question 3P is inversely proportional to m.P = 48 when m = 9.Form an equation for P in terms of m.Calculate the value of P when m = 12.Question 4R is inversely proportional to T.R = 12 when T = 0.2Find an equation for R in terms of T.Find the value of R when T = 4Question 5F is inversely proportional to D.When D = 50, F = 256.Find an equation for F in terms of D.Find the value of F when D = 80.Question 6Y is inversely proportional to x2Given that y = 2.5 when x = 24.Find an equation for y in terms of x.Find the value of y when x = 20.Question 7The shutter speed, S, of a camera varies inversely to the square of the aperture settings, F.When F = 8, S = 125Find an equation for S in terms of F.Find the value of S when F = 4.Direct Proportion – Answers.Question 1a is directly proportional to b such that a = 2b.a = 6b = 3.5 Question 2c is directly proportional to d such that c = 1.5d.c = 18d = 10Question 3T is directly proportional to V such that T = 8VT = 56V = 3Question 4A is directly proportional to B. When A = 28, B = 7.A = 4BA = 48B = 13/4 = 3 ? Question 5Y is directly proportional to X. When Y = 108, X = 9.Y = 12XY = 60X = 2Question 6U is directly proportional to T.When U = 36, T = 4U = 9TU = 63T = 12Question 7R is directly proportional to S.When R = 9, S = 1.5.R = 6SR = 48S = 15/6 = 1 3/6 = 1 ? Question 8The distance (d) a weighted ball falls in water in metres is directly proportional to the time (t) it takes to drop in seconds.When the ball falls 20m, it takes 10 seconds.Find an equation for d in terms of t. d = 2t7 seconds.Question 9The weight (w) in grams of a piece of wire is directly proportional to its length (l) in cm. A piece of wire is 25cm long and has a weight of 5 grams. W = 0.2D6 grams.Question 10Time (T) taken for a water heater to boil water is directly proportional to the Power (P) in watts of the water heater.When P = 1300, T = 650.Find the value for T when P = 900.Equation: T = 0.5PWhen P = 900, T = 4505696730-121285y = k x00y = k xIndirect (Inverse) Proportion - AnswersQuestion 1Y is inversely proportional to plete the table of values below.2112645369198/7008/714636753753178008Make sure that your write the formula clearly. Y = 40/XQuestion 2A is inversely proportional to B.When A = 4, B = 7B740.5A4756Write an equation for A in terms of B. A = 28/BComplete the table of values for A and B.Question 3P is inversely proportional to m.P = 48 when m = 9.Form an equation for P in terms of m. P = 432/mCalculate the value of P when m = 12. P = 36Question 4R is inversely proportional to T.R = 12 when T = 0.2Find an equation for R in terms of T. R = 2.4/TFind the value of R when T = 4R = 0.6Question 5F is inversely proportional to D.When D = 50, F = 256.Find an equation for F in terms of D. F = 12800/DFind the value of F when D = 80.F = 160Question 6Y is inversely proportional to x2Given that y = 2.5 when x = 24.Find an equation for y in terms of x.Y = 576/x2Find the value of y when x = 20.Y = 2.88Question 7The shutter speed, S, of a camera varies inversely to the square of the aperture settings, F.When F = 8, S = 125Find an equation for S in terms of F.Find the value of S when F = 4. ................
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