Understanding Proportional Relationships

The video tutorial introduces module 3 on proportional relationships, focusing on representing these relationships using tables. It explains the concept of the constant of proportionality, represented by 'k', and how to calculate it using the ratio of y over x. The tutorial provides examples of tables with and without proportional relationships, demonstrating how to identify and calculate the constant of proportionality. It also covers how to complete tables with missing values using the constant of proportionality and how to write equations representing these relationships.

What is a proportional relationship?

• A relationship where the sum of two quantities is constant.

• A relationship where the difference between two quantities is constant.

• A relationship where the product of two quantities is constant.

• A relationship where the ratio of two quantities is constant.

How is the constant of proportionality represented?

• By the letter c

• By the letter k

• By the letter p

• By the letter r

What is the formula to find the constant of proportionality?

• k = y - x

• k = y / x

• k = x * y

• k = x / y

In a table, where are the x values typically located?

• On the right side of the table

• On the bottom of the table

• On the top of the table

• On the left side of the table

What does it mean if all columns in a table have the same constant of proportionality?

• The table represents an exponential relationship.

• The table represents a linear relationship.

• The table represents a proportional relationship.

• The table does not represent a proportional relationship.

What indicates that a table does not represent a proportional relationship?

• All constants of proportionality are equal.

• The constants of proportionality are not equal.

• The table has missing values.

• The table has more than two columns.

How can you find missing values in a proportional table?

• By using the constant of proportionality

• By guessing the values

• By adding all known values

• By subtracting all known values

What is the equation form used to represent a proportional relationship?

• y = kx

• y = x / k

• y = k - x

• y = k + x

If k = 2/3 and x = 3, what is y?

• y = 2

• y = 3

• y = 4

• y = 1

What is the relationship between a table and an equation in a proportional relationship?

• They represent different relationships.

• They are unrelated.

• They represent the same relationship.

• They contradict each other.