Understanding Proportional and Nonproportional Relationships

The video tutorial covers the concepts of proportional and nonproportional relationships, starting with key vocabulary. It includes exercises to identify these relationships using examples like pizza costs and Andrew's earnings. The tutorial also explains complex fractions and their role in determining proportionality, using Uptown Tickets as an example.

What does it mean for two quantities to be proportional?

• They have a constant product.

• They have a constant ratio.

• They have a constant difference.

• They have a constant sum.

If one pizza costs $8, what is the cost of three pizzas in a proportional relationship?

• $32

• $24

• $16

• $40

In the pizza example, what is the unit rate of cost per pizza?

• $6 per pizza

• $7 per pizza

• $8 per pizza

• $9 per pizza

How much does Andrew earn for working 3 hours if he earns $18 per hour?

• $72

• $90

• $36

• $54

What is the relationship between Andrew's earnings and the hours he works?

• Variable

• Constant

• Proportional

• Nonproportional

What is the total cost for two baseball tickets from Uptown Tickets, including the processing fee?

• $17

• $24

• $14

• $20

Why is the cost of Uptown Tickets not proportional to the number of tickets?

• There is a constant processing fee.

• The processing fee is variable.

• The ticket price changes.

• The ticket price is too high.

What is the simplified form of the complex fraction 10/1?

• 1/10

• 5

• 10

• 0.1

How do you simplify a complex fraction?

• Add the numerator and denominator.

• Subtract the denominator from the numerator.

• Multiply the numerator by the reciprocal of the denominator.

• Divide the numerator by the denominator.

What is the equivalent simplified ratio for the complex fraction 31/4?

• 1/4

• 0.25

• 8

• 7.75