Compare Proportional Relationships

Multiple Choice

Could the table showing how loud a sound is at various distances from the listener represent a proportional relationship? If so, what would the constant of proportionality be?

• Yes, it represents a proportional relationship with a constant of 1.
• Yes, it represents a proportional relationship with a constant of 10.
• No, it represents a direct relationship but not proportional.
• No, it does not represent a proportional relationship.

Multiple Choice

Decide whether the table showing the cost of fountain drinks at Hot Dog Hut for different volumes could represent a proportional relationship. If the relationship could be proportional, what would the constant of proportionality be?

• The relationship is not proportional.
• The constant of proportionality is 0.10.
• The relationship is directly proportional.
• The relationship is proportional with a constant of 0.05.

Multiple Choice

What is the price for a taxi ride of 2 miles if the service charges $1.00 for the first $$\frac{1}{10}$$ mile, then $0.10 for each additional $$\frac{1}{10}$$ mile?

• $1.50
• $3.20
• $2.50
• $2.90

Multiple Choice

Is the relationship between distance traveled and price of the trip a proportional relationship based on the completed table from the previous question?

• No, the relationship is not proportional.
• The relationship is inversely proportional.

Multiple Choice

Is the relationship between distance traveled and time proportional for the turtle? If so, what is the constant of proportionality?

• Yes, the relationship is proportional with a constant of proportionality of 54.
• Yes, the relationship is proportional with a constant of 72.
• Yes, the relationship is proportional with a constant of 30.
• No, the relationship is not proportional.

Multiple Choice

Is the relationship between distance traveled and time proportional for the rabbit?

• No
• It is directly proportional

Multiple Choice

Does the table of photo sizes represent a proportional relationship? If so, what is the constant of proportionality?

• No, the table does not represent a proportional relationship.
• No, the table represents a proportional relationship.
• Yes, the table represents a proportional relationship with a constant of 2.
• Yes, the table represents a proportional relationship with a constant of 1.5.

Multiple Choice

Decide whether the table of lighthouse visibility could represent a proportional relationship. If the relationship could be proportional, what would be the constant of proportionality?

• The relationship is directly proportional with a constant of 1.5.
• The relationship is proportional with a constant of 2.
• The relationship is proportional with a constant of 0.5.
• The relationship is not proportional.

Open Ended

A phone keeps track of the number of steps taken and the distance traveled. Based on the information in the table, is there a proportional relationship between the two quantities? Explain your reasoning.

Multiple Choice

Does the table represent a proportional relationship for the number of wheels on a group of buses, and if so, what is the constant of proportionality?

• No, the constant of proportionality is 10.
• Yes, the constant of proportionality is 8.
• Yes, the constant of proportionality is 6.
• No, the constant of proportionality is 5.