Lesson 03: More About Constant of Proportionality | Unit 2: Introducing Proportional Relationships

Multiple Choice

Noah is running a portion of a marathon at a constant speed of 6 miles per hour. How far would he run in 1 hour?

• 6 miles
• 5 miles
• 7 miles
• 8 miles

Multiple Choice

One kilometer is 1000 meters.

What is the interpretation of the constant of proportionality in each case?

1. What is the relationship between the two constants of proportionality?

• The constants of proportionality are reciprocals: 1000 (meters to kilometers) and 0.001 (kilometers to meters).
• The constants of proportionality are equal to each other.
• The constants of proportionality are both 0.001.
• The constants of proportionality are both 1000.

Open Ended

Jada and Lin are comparing inches and feet. Jada says that the constant of proportionality is 12. Lin says it is $$\frac{1}{12}$$ . Do you agree with either of them? Explain your reasoning.

Multiple Choice

One kilogram is 2.2 pounds. What is the weight in pounds for 7 kilograms?

• 15.4 pounds
• 5.0 pounds
• 20.0 pounds
• 10.5 pounds

Open Ended

What is the interpretation of the constant of proportionality in the conversion from kilograms to pounds? Provide a detailed explanation.

Multiple Choice

In a video game, a character is healed at a constant rate as long as they are standing in a certain circle. How many health points are gained in 10 seconds?

• 150 points
• 750 points
• 500 points
• 250 points

Multiple Choice

Lin’s puppy is gaining weight at a rate of 0.125 pounds per day. How many days does it take for the puppy to gain 1 pound?

• 8 days
• 10 days
• 12 days
• 6 days