Exploring Proportional and Nonproportional Relationships

What is a proportion?

• Two quantities that have a constant ratio

• Two quantities that have a variable ratio

• A ratio that cannot be simplified

• A single quantity that changes over time

What does the constant of proportionality represent?

• The simplest form of the constant ratio

• The variable ratio between two quantities

• The total cost of an item

• The number of items purchased

If you get 4 wristbands for $6, what is the simplified ratio?

• 1:2

• 2:1

• 3:2

• 2:3

Which of the following is an example of a non-proportional relationship?

• 6/4, 9/6, 12/8

• 5/2, 10/4, 15/6

• 10/5, 15/6, 20/8

• 3/2, 6/4, 9/6

How do you determine if the cost of coffee is proportional to the number of pounds?

• All of the above

• By checking if the ratios are equal

• By identifying the constant of proportionality

• By comparing the total cost to the number of pounds

What is the constant of proportionality if 3 pounds of coffee cost $9?

• 4

• 3

• 2

• 1

What is the general form of the equation used to represent proportional relationships?

• y = k - x

• y = kx

• y = k + x

• y = k / x

If 2.5 pounds of meat cost $7.20, what is the cost per pound?

• $2.88

• $3.00

• $2.72

• $2.50

Using the equation y = kx, what is the cost of 4 pounds of meat if k = $2.88?

• $12.00

• $11.00

• $10.00

• $11.52

What is the first step in finding the constant of proportionality?

• Multiply the quantities

• Divide the cost by the number of items

• Add the quantities

• Subtract the quantities