Proportional Relationships and Division

The video tutorial explains how to identify proportional relationships between X and Y by organizing data as Y over X. It demonstrates the process using tables, focusing on reducing fractions to determine proportionality. The first and third tables are confirmed as proportional, while the second is not. The tutorial emphasizes the importance of consistent ratios across columns to establish proportionality.

What is the first step in determining if a table represents a proportional relationship?

• Divide x by y

• Multiply x and y

• Organize it as y over x

• Organize it as x over y

In the first example, what does the fraction 1/8 divided by 1/4 reduce to?

• 1/4

• 1

• 1/2

• 2

What is the result of 2/8 divided by 2/4 in the second example?

• 1

• 1/2

• 2

• 1/4

In the third example, what does 3/8 divided by 3/4 reduce to?

• 2

• 1

• 1/2

• 1/4

Why is the second table in the third example not proportional?

• The numbers are too large

• The numbers are not the same

• The fractions are not simplified

• The numbers are negative

What is the result of 4 divided by 1/2 in the final example?

• 8

• 6

• 4

• 2

In the final example, what does 5 divided by 2/2 reduce to?

• 10

• 4

• 2

• 5

Which of the following is a proportional relationship?

• 8/4 = 2

• 5/1 = 5

• 9/3 = 3

• 4/2 = 2

What is the result of 18 divided by 6 in the final example?

• 2

• 4

• 3

• 1

Which tables are identified as proportional in the final example?

• A and B

• B and C

• A and C

• C and D