Exploring Proportional and Nonproportional Relationships

This video tutorial covers the concepts of proportional and non-proportional relationships. It begins with an introduction to these concepts and an essential question about demonstrating proportionality. The video uses real-world examples, such as pizza costs, Andrew's earnings, ticket pricing, a fruit punch recipe, and reading rates, to illustrate how to identify and analyze proportional relationships. Key concepts are defined, and examples are provided to help viewers understand how to determine if relationships are proportional or not.

What is the cost of 3 medium pizzas if each pizza costs $8?

• $40

• $32

• $24

• $16

How do you simplify the ratio 24 dollars for 3 pizzas?

• 12 over 1

• 8 over 1

• 4 over 1

• 6 over 1

What does it mean for two quantities to be proportional?

• They have a constant ratio or unit rate.

• They have different ratios.

• They are always equal.

• They are always different.

If Andrew earns $18 per hour, how much does he earn for 4 hours of work?

• $18

• $54

• $36

• $72

What is the cost of 2 baseball tickets if each ticket costs $7 and there is a $3 processing fee per order?

• $24

• $17

• $14

• $10

Why is the cost of baseball tickets not proportional to the number of tickets ordered?

• The ratios are not the same.

• The ticket price changes.

• The ratios are constant.

• The processing fee is too high.

In the fruit punch recipe, how many envelopes of mix are needed for 1 cup of sugar?

• 1 envelope

• 2 envelopes

• 3 envelopes

• 4 envelopes

What is the constant ratio of sugar to mix in the fruit punch recipe?

• 1.5

• 1

• 0.5

• 2

Which reading rate represents a proportional relationship?

• Neither reading rate

• Martin's reading rate

• Gabriel's reading rate

• Both reading rates

How long does it take Martin to read 4 pages?

• 10 minutes

• 20 minutes

• 15 minutes

• 5 minutes