Constant of Proportionality

The video tutorial explains how to identify the constant of proportionality in proportional relationships using graphs and tables. It introduces the concept of the constant of proportionality, represented by 'k', as the ratio of y to x. The tutorial provides examples using both table and graph data to calculate 'k', demonstrating that it remains constant across all related x and y pairs. The video concludes by summarizing the process of identifying the constant of proportionality.

What does the constant of proportionality represent in a proportional relationship?

• The product of x and y values

• The ratio of y to x values

• The difference between x and y values

• The sum of x and y values

If y equals 8 when x equals 2, what is the constant of proportionality?

• 8

• 6

• 4

• 2

How do you determine the constant of proportionality from a graph?

• By calculating the ratio of y to x for any point

• By counting the number of points on the line

• By finding the slope of the line

• By identifying the y-intercept

What is the constant of proportionality if the ordered pair (6, 9) is used?

• 3

• 2/3

• 3/2

• 1/2

If another ordered pair (4, 6) is used, what is the constant of proportionality?

• 3/2

• 2/3

• 1/2

• 3