Exploring the Constant of Proportionality in Various Representations

The video tutorial explains how to represent proportional relationships using tables, graphs, equations, and verbal descriptions. It introduces the concept of the constant of proportionality and demonstrates its application through a real-life example of saving money. The tutorial guides students in creating a table, plotting data on a graph, and forming a verbal description and equation to represent the situation.

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

• The difference between the quantities

• The constant value of the ratio between two proportional quantities

• The variable that changes

• The total sum of the quantities

In the given situation, how much money does Miss Shackleford save every 3 weeks?

• $36

• $24

• $12

• $48

What is the unit rate of saving money per week in the given situation?

• $15

• $12

• $10

• $18

How much money has Miss Shackleford saved after 2 weeks?

• $48

• $36

• $24

• $12

What is the amount of money saved after 5 weeks?

• $55

• $50

• $60

• $65

Which axis represents the number of weeks on the graph?

• Y-axis

• None of the above

• Z-axis

• X-axis

What is the scale used for the Y-axis in the graph?

• 10 units per week

• 1 unit per week

• 2 units per week

• 5 units per week

How would you describe the saving pattern of Miss Shackleford verbally?

• She saves $20 each week.

• She saves $15 each week.

• She saves $12 each week, starting with $0.

• She saves $10 each week.

What is the equation representing the amount of money saved (M) after W weeks?

• M = 12W

• M = 20W

• M = 10W

• M = 15W

If Miss Shackleford continues saving at the same rate, how much will she have saved after 7 weeks?

• $90

• $84

• $72

• $70