Understanding Proportional Relationships

The video tutorial covers the concept of proportionality, explaining how to determine if tables are proportional by calculating unit rates. It includes examples and real-world applications, emphasizing the importance of consistent multiplication and division relationships. The tutorial also explores advanced concepts and common misconceptions about proportionality.

What is the constant of proportionality if y = 12 and x = 3?

• 3

• 4

• 5

• 6

Why is the relationship not proportional if y = 17 and x = 4?

• The unit rate is consistent

• The unit rate is inconsistent

• The values are multiplied

• The values are equal

What is the unit rate for a coffee bag priced at $210 for 6 ounces?

• $45 per ounce

• $30 per ounce

• $35 per ounce

• $40 per ounce

How much would a 20-ounce coffee bag cost if the unit rate is $0.35 per ounce?

• $5.00

• $6.00

• $7.00

• $8.00

If the cost of a movie ticket is $9.50 per person, what is the total cost for 7 people?

• $66.50

• $75.50

• $70.00

• $80.00

What is the ratio of pages read by Gil to his daughter if Gil reads 5 pages and his daughter reads 3?

• 2:3

• 1:1

• 3:5

• 5:3

Is the reading relationship between Gil and his daughter proportional?

• Yes, because the ratio is consistent

• No, because the ratio changes

• Yes, because they read the same amount

• No, because they read different amounts

What is the unit rate if 3 children are in a household with 1 parent?

• 3

• 1

• 4

• 2

Why is the relationship between cars sold and money earned not proportional?

• The unit rate is inconsistent

• The values are multiplied

• The unit rate is consistent

• The values are equal

Create an example of a non-proportional relationship.

• Multiplying values

• Equal values

• A changing unit rate

• A constant unit rate