Constant of Proportionality

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Presentation transcript:

Constant of Proportionality 9/29/16 and 9/30/16 Constant of Proportionality

Objective: To determine the constant of proportionality from a table, graph, equation, or verbal description of a proportional relationship. Represent constant rate of change with equations of the form y=kx. Describe the meaning of points on a graph of a proportional relationship. Solve problems involving proportional relationships.

Constant of Proportionality The graph of a proportional relationship is a straight line that passes through the origin. Proportional quantities can be described by the equation y= kx, where k is a constant ratio.

Constant of Proportionality Equation for constant of proportionality is y = kx We can tell that the relationship is directly proportional by looking at the graph. The graph is a straight line that passes through the origin.

Constant of Proportionality Equation for constant of proportionality is y = kx Create a table using the points from the graph: Total price (y) 20 40 60 80 100 Total pounds (x) 2 4 6 8 10 Divide total price by total pounds

Constant of Proportionality Equation for constant of proportionality is y = kx Create a table using the points from the graph: Total price (y) 20 40 60 80 100 Total pounds (x) 2 4 6 8 10 Divide total price by total pounds

Constant of Proportionality Equation for constant of proportionality is y = kx Ratio is constant for all points on the graph 1:10 So the constant of proportionality (k) = 10. Equation: y = 10x Create a table using the points from the graph: Total price (y) 20 40 60 80 100 Total pounds (x) 2 4 6 8 10 Divide total price by total pounds