Inverse Variation “y varies inversely as x” Constant of variation Ex.1.) Find the constant of variation in which y varies inversely as x. Give the equation of variation. a. y = 5 when x = 3 15 = k k = 15 Constant of variation Equation of variation b. y = 6 when x = -7 -42 = k k = -42 Inverse Variation “y varies inversely as x” Constant of variation Ex.2.) If y varies inversely as x, and y = - 5 when x = 8, find the value of y when x = - 4. -40 = k k = -40 Constant of variation Equation of variation y = 10 Inverse Variation “y varies inversely as x” Constant of variation Try This: 1. Find the constant of variation and the equation of variation in which y varies inversely as x, and y = 7 when x = -1. 2. If y varies inversely as x, and y = 1 when x = 18, find the value of y when x = -6. 3. If a varies inversely as b, and a = 12 when b = ½, find the value of a when b = 2.