Report

Constant of Proportionality Direct Variation – constant ratio A direct variation is represented by a ratio or equation : y k x or y kx k≠0 EX1) Determine if the table represents a direct variation. If so, state the x y constant of proportionality Step 1 Substitute values 1 2 3 4 for variables Step 2 Simplify 3 6 9 12 y x 3 1 6 2 9 3 12 4 K= 3 3 3 3 This is a direct variation because the ratios are constant. The constant of proportionality is 3. EX2) Identify the constant of proportionality in the equation y=15x where y = cost of concert tickets and x = number of concert tickets y = 15 x Explain the relationship. Each concert ticket cost $15. y=kx k = constant of proportionality 15 = constant of proportionality $ EX3) Refer to the graph. Is there a direct variation? Explain 8 7 6 5 4 3 2 1 0 There is not a direct variation. The line does not go through the origin. 0 1 2 pounds 3 notes Date ____________ Constant of Proportionality Direct Variation – A direct variation is represented by a ratio or equation : EX1) Determine if the table represents a direct variation. x y Step 1 Step 2 EX2) Identify the constant of proportionality. Explain the relationship. k= y= x= y = 15 x $ EX3) Refer to the graph. Is there a direct variation? Explain 8 7 6 5 4 3 2 1 0 0 1 2 pounds 3