Constant of Proportionality

A direct variation is represented by a ratio or equation : or k ≠ 0 Direct Variation – constant ratio EX1) Determine if the table represents a direct variation. Step 1Substitute values for variables K =33 33 Step 2Simplify This is a direct variation because the ratios are constant.

EX2)Identify the constant of proportionality. y = 15 x k = constant of proportionality y = k x 15 = constant of proportionality Explain the relationship. y = cost of concert tickets x = number of concert tickets Each concert ticket cost $15. EX3) Refer to the graph. Is there a direct variation? Explain There is not a direct variation. The line does not go through the origin.

notes

Constant of Proportionality Date ____________

A direct variation is represented by a ratio or equation : Direct Variation – EX1) x y Determine if the table represents a direct variation. Step 1 Step 2

EX2)Identify the constant of proportionality. y = 15 x k = Explain the relationship. y = x = EX3) Refer to the graph. Is there a direct variation? Explain