Exploring Proportional and Nonproportional Relationships

The video tutorial covers the concepts of proportional and non-proportional relationships, explaining how to determine if two quantities are proportional by checking if they have a constant ratio or unit rate. It uses real-world examples, such as pizza costs, speed, earnings, ticket costs, a fruit punch recipe, and bank deposits, to illustrate these concepts. The tutorial emphasizes the importance of unit rates and provides step-by-step calculations to identify proportionality. It concludes with instructions for an assignment to reinforce the learning objectives.

What defines a proportional relationship between two quantities?

• A constant difference

• A constant ratio or unit rate

• A variable difference

• A variable ratio

If the cost of 3 pizzas is $24, what is the cost of 5 pizzas?

• $32

• $16

• $40

• $24

What is the unit rate for 60 miles in 1 hour?

• 60 miles per hour

• 120 miles per hour

• 90 miles per hour

• 30 miles per hour

If a driver travels 120 miles in 2 hours, what is the average speed?

• 30 miles per hour

• 120 miles per hour

• 60 miles per hour

• 90 miles per hour

Andrew earns $18 per hour for mowing lawns. If he works for 4 hours, how much does he earn?

• $54

• $72

• $36

• $18

Uptown Tickets charges $7 per ticket plus a $3 processing fee per order. What is the cost for 2 tickets?

• $20

• $17

• $14

• $10

In the fruit punch example, what is the unit rate of sugar to mix for 1 envelope?

• 1 cup of sugar

• 1/2 cup of sugar

• 2 cups of sugar

• 1/4 cup of sugar

Is the relationship between the amount of sugar and mix in the fruit punch example proportional?

• Yes, because all unit rates are the same

• No, because the unit rates are different

• Yes, because the amounts are increasing

• No, because the amounts are decreasing

Is Isabelle's account balance proportional to the number of weeks of deposits?

• Yes, because the balance increases by a constant amount

• No, because the unit rates are different

• No, because the initial amount is not zero

• Yes, because the deposits are the same each week

What is the unit rate for Isabelle's account balance in the first week?

• $140 per week

• $70 per week

• $20 per week

• $120 per week