Understanding Proportional Relationships

This video tutorial explains proportional relationships, focusing on the concept of the constant of proportionality. It demonstrates how to determine if two variables are proportional by checking if their ratios are equivalent, using multiplication or division. The video includes practice problems to reinforce understanding, highlighting both proportional and non-proportional examples. Viewers are encouraged to use the provided worksheet for additional practice.

What is a proportional relationship?

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

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

• A relationship where one variable is always added to another.

• A relationship where one variable is always subtracted from another.

What is the constant of proportionality represented by?

• The variable y

• The variable x

• The variable z

• The variable k

What is the key indicator of a proportional relationship?

• The difference of the variables is constant.

• The sum of the variables is constant.

• The product of the variables is constant.

• The ratio of the variables is constant.

How can you determine if two values are proportional?

• By checking if you can multiply or divide by the same constant.

• By checking if their sum is constant.

• By checking if their product is constant.

• By checking if their difference is constant.

In the first practice problem, what is the constant of proportionality?

• 5

• 2

• 3

• 10

What operation is used to determine proportionality in the first practice problem?

• Multiplication

• Division

• Subtraction

• Addition

Why is the second practice problem not proportional?

• Because all multiplication results in the same constant.

• Because all multiplication results in different constants.

• Because all division results in the same constant.

• Because all division results in different constants.

In the second practice problem, what is the result of multiplying 9 by the constant?

• 45

• 18

• 0

• 9

In the third practice problem, what is the constant of proportionality?

• 5

• 4

• 3

• 2

What is the result of multiplying 5 by the constant in the third practice problem?

• 25

• 20

• 15

• 10