Direct variation y varies directly with x squared Write an equation: Y =kx^2 If x doubles then what happens to y? Doubles ^2 (doubles squared) = 4 times bigger

If m varies directly with n cubed Write an equation: M= kn^3 If n doubles what happens to M? Doubles^3 (doubles cubed) = 8 times bigger

L varies directly with W squared. Write an equation L = k W^2 If w is cut in half what happens to L? ½ squared ( ½ ^2) = 1/4th as big If w is cut in 1/3 what happens to L? 1/3 squared (1/3 ^2) or 1/9th as big

W varies directly with T to the 4th Write an equation: W = 3T^4 If T doubles what happens to W? Doubles ^4 = 16 times as big. If T is cut in half what happens to W? ½ ^4 = 1/16th as big

R varies inversely with Q Write an equation R = K/Q If q doubles what happens to R? Doubles ^1 = two times smaller or divided by 2 If q triples what happens to R? - Triples ^1 so 3 times smaller or divided by 3

U varies inversely with F cubed Write an equation: U = k/F^3 If F doubles what happens to U? Doubles ^3 = divided by 8 or 8 times smaller If F triples what happens to U? Triples ^3 so divided by 27 or 27 times smaller

H varies inversely with J squared Write an equation: H = 3/J^2 If J is cut in half what happens to H? ½ ^ 2 so divided by ¼ (alg. says dividing by a fraction = multiplying by reciprocal so…) mult. by 4 or 4 times bigger If J is cut in 1/3 what happens to H? 1/3 ^ 2 so divided by 1/9 (not reduced) so…. Multiplied by 9 or 9 times bigger.