Constant of Proportionality: Practice Problems
Problem 1: If the cost of 5 notebooks is Rs. 15, what is the cost of 8 notebooks if the relationship is proportional?
Problem 2: A car travels 180 miles in 3 hours. If the relationship between distance and time is proportional, how far will the car travel in 5 hours?
Problem 3: The time it takes to mow a lawn is directly proportional to the area of the lawn. If it takes 2 hours to mow a lawn with an area of 500 square feet, how long will it take to mow a lawn with an area of 750 square feet?
Problem 4: A recipe calls for 2 cups of flour to make 24 cookies. If the relationship is proportional, how many cups of flour are needed to make 36 cookies?
Problem 5: The distance traveled by a moving object is directly proportional to the time it takes to travel that distance. If an object travels 120 miles in 2 hours, how far will it travel in 5 hours?
Problem 6: The cost of 8 gallons of paint is $64. If the relationship between the number of gallons and the cost is proportional, what is the cost of 12 gallons of paint?
Problem 7: A train travels 300 miles in 4 hours. If the relationship between distance and time is proportional, how long will it take for the train to travel 450 miles?
Constant of Proportionality
Constant of Proportionality is a fundamental concept in mathematics that helps us understand the relationships between two varying quantities. Constant of Proportionality is used for analyzing direct and inverse relationships in various contexts. Constant of Proportionality represents the unchanging value in the ratio between two directly or inversely proportional quantities.
Constant of Proportionality is often denoted as ‘k’ that relates two directly or inversely proportional quantities. In this article, we will discuss the Constant of Proportionality in detail including its definition and types. We will also have a look at various solved examples on the Constant of Proportionality concept for understanding.
Table of Content
- What is Proportionality?
- What is Constant of Proportionality?
- Constant of Proportionality Formula
- Direct and Inverse Proportions
- How to Find the Constant of Proportionality?
- Use of Constant of Proportionality
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