Exploring Proportional and Nonproportional Relationships

What defines a proportional relationship between two quantities?

• A variable ratio

• A constant ratio or unit rate

• A constant difference

• A variable difference

If Andrew earns $18 per hour for mowing lawns, how much will he earn for 3 hours?

• $36

• $54

• $18

• $72

Why is Andrew's earnings considered proportional to the hours he works?

• Because the earnings decrease over time

• Because the hours worked are constant

• Because the unit rate is constant

• Because the total amount earned increases

At Lakeview Middle School, if there are 2 teachers for every 48 students, how many students are there per teacher?

• 36

• 24

• 48

• 12

Why is the number of students at Lakeview Middle School proportional to the number of teachers?

• Because the number of students varies

• Because the ratio of students to teachers is constant

• Because the number of teachers varies

• Because the ratio of students to teachers changes

What is the cost of an order for 2 baseball game tickets from Uptown Tickets, including the processing fee?

• $14

• $17

• $10

• $20

Why is the cost of an order from Uptown Tickets not proportional to the number of tickets ordered?

• Because the number of tickets varies

• Because the unit rate is not constant

• Because the processing fee is constant

• Because the cost per ticket decreases

In the fruit punch recipe, what is the ratio of sugar to mix?

• 1:0.5

• 1:3

• 1:2

• 1:1

Why is the amount of sugar used in the fruit punch recipe proportional to the amount of mix used?

• Because the ratio of sugar to mix changes

• Because the ratio of sugar to mix is constant

• Because the amount of sugar varies

• Because the amount of mix varies

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

• No, because the unit rate is not constant

• Yes, because the deposits are regular

• Yes, because the balance increases

• No, because the balance decreases