Subjects

Careers

Open the App

Subjects

Understanding Proportional Relationships: Constant of Proportionality in Equations

Open

2

0

user profile picture

Majo Valenzuela Romero

10/30/2023

Arithmetic

Understanding the Constant of Proportionality

Understanding Proportional Relationships: Constant of Proportionality in Equations

Understanding proportional relationships and their constant of proportionality in equations is essential in mathematics. This comprehensive guide explores how to identify and work with proportional relationships through various examples of proportional relationships in math.

• The constant of proportionality (k) represents the relationship between two quantities in a proportional equation, typically written as y = kx

• The unit rate and constant of proportionality are interchangeable terms, representing the same mathematical concept

• Real-world applications, like Zion's jump rope example, demonstrate how proportional relationships work in practice

• Understanding how to identify and calculate the constant of proportionality is crucial for solving proportional equations

...

10/30/2023

38

Constant
of proportionality
• A constant of proportionality is a number that
relates two quantities in a proportional
relationship. For exam

View

Page 2: Exploring Proportional Relationships

This page delves into various examples of proportional relationships, using real-world scenarios to illustrate the concept. The content examines how to identify and analyze proportional relationships through different examples.

Example: The relationship between eggs and cups of milk in a recipe demonstrates how proportional relationships maintain consistent ratios.

Highlight: A true proportional relationship can be expressed as y = kx, where k remains constant throughout the relationship.

Definition: Proportional relationships maintain constant ratios between corresponding quantities.

Constant
of proportionality
• A constant of proportionality is a number that
relates two quantities in a proportional
relationship. For exam

View

Page 3: Working with Proportional Equations

This page focuses on solving equations involving proportional relationships and identifying constants of proportionality in various mathematical expressions.

Example: The equation 4y = 8x can be rewritten as y = 2x, where 2 is the constant of proportionality.

Highlight: To find the constant of proportionality, always solve for y first, then identify the coefficient of x.

Vocabulary: Coefficient - the numerical factor of a term in an algebraic expression.

Can't find what you're looking for? Explore other subjects.

Knowunity is the # 1 ranked education app in five European countries

Knowunity was a featured story by Apple and has consistently topped the app store charts within the education category in Germany, Italy, Poland, Switzerland and United Kingdom. Join Knowunity today and help millions of students around the world.

Ranked #1 Education App

Download in

Google Play

Download in

App Store

Knowunity is the # 1 ranked education app in five European countries

4.9+

Average App Rating

21 M

Students use Knowunity

#1

In Education App Charts in 17 Countries

950 K+

Students uploaded study notes

Still not sure? Look at what your fellow peers are saying...

iOS User

I love this app so much [...] I recommend Knowunity to everyone!!! I went from a C to an A with it :D

Stefan S, iOS User

The application is very simple and well designed. So far I have found what I was looking for :D

SuSSan, iOS User

Love this App ❤️, I use it basically all the time whenever I'm studying

 

Arithmetic

38

Oct 30, 2023

3 pages

Understanding Proportional Relationships: Constant of Proportionality in Equations

user profile picture

Majo Valenzuela Romero

@majovalrom

Understanding proportional relationships and their constant of proportionality in equations is essential in mathematics. This comprehensive guide explores how to identify and work with proportional relationships through various examples of proportional relationships in math.

• The constant of proportionality... Show more

Constant
of proportionality
• A constant of proportionality is a number that
relates two quantities in a proportional
relationship. For exam

Sign up to see the contentIt's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Page 2: Exploring Proportional Relationships

This page delves into various examples of proportional relationships, using real-world scenarios to illustrate the concept. The content examines how to identify and analyze proportional relationships through different examples.

Example: The relationship between eggs and cups of milk in a recipe demonstrates how proportional relationships maintain consistent ratios.

Highlight: A true proportional relationship can be expressed as y = kx, where k remains constant throughout the relationship.

Definition: Proportional relationships maintain constant ratios between corresponding quantities.

Constant
of proportionality
• A constant of proportionality is a number that
relates two quantities in a proportional
relationship. For exam

Sign up to see the contentIt's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Page 3: Working with Proportional Equations

This page focuses on solving equations involving proportional relationships and identifying constants of proportionality in various mathematical expressions.

Example: The equation 4y = 8x can be rewritten as y = 2x, where 2 is the constant of proportionality.

Highlight: To find the constant of proportionality, always solve for y first, then identify the coefficient of x.

Vocabulary: Coefficient - the numerical factor of a term in an algebraic expression.

Constant
of proportionality
• A constant of proportionality is a number that
relates two quantities in a proportional
relationship. For exam

Sign up to see the contentIt's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Page 1: Understanding Constants of Proportionality

This page introduces the fundamental concepts of proportional relationships and their constants. The content explores how the constant of proportionality connects two quantities in a mathematical relationship.

Definition: A constant of proportionality is a number that relates two quantities in a proportional relationship, expressed as y = kx, where k is the constant.

Example: Zion's jump rope scenario demonstrates a practical application, where 135 skips in 3 minutes yields a constant of proportionality of 45 skips per minute.

Highlight: The constant of proportionality is equivalent to the unit rate, making it essential to understand which quantity represents x in the equation.

Vocabulary: Unit rate - the rate at which one quantity changes in relation to one unit of another quantity.

Can't find what you're looking for? Explore other subjects.

Students love us — and so will you.

4.9/5

App Store

4.8/5

Google Play

The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.

Stefan S

iOS user

This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.

Samantha Klich

Android user

Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.

Anna

iOS user

I think it’s very much worth it and you’ll end up using it a lot once you get the hang of it and even after looking at others notes you can still ask your Artificial intelligence buddy the question and ask to simplify it if you still don’t get it!!! In the end I think it’s worth it 😊👍 ⚠️Also DID I MENTION ITS FREEE YOU DON’T HAVE TO PAY FOR ANYTHING AND STILL GET YOUR GRADES IN PERFECTLY❗️❗️⚠️

Thomas R

iOS user

Knowunity is the BEST app I’ve used in a minute. This is not an ai review or anything this is genuinely coming from a 7th grade student (I know 2011 im young) but dude this app is a 10/10 i have maintained a 3.8 gpa and have plenty of time for gaming. I love it and my mom is just happy I got good grades

Brad T

Android user

Not only did it help me find the answer but it also showed me alternative ways to solve it. I was horrible in math and science but now I have an a in both subjects. Thanks for the help🤍🤍

David K

iOS user

The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!

Sudenaz Ocak

Android user

In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.

Greenlight Bonnie

Android user

I found this app a couple years ago and it has only gotten better since then. I really love it because it can help with written questions and photo questions. Also, it can find study guides that other people have made as well as flashcard sets and practice tests. The free version is also amazing for students who might not be able to afford it. Would 100% recommend

Aubrey

iOS user

Best app if you're in Highschool or Junior high. I have been using this app for 2 school years and it's the best, it's good if you don't have anyone to help you with school work.😋🩷🎀

Marco B

iOS user

THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮

Elisha

iOS user

This app is phenomenal down to the correct info and the various topics you can study! I greatly recommend it for people who struggle with procrastination and those who need homework help. It has been perfectly accurate for world 1 history as far as I’ve seen! Geometry too!

Paul T

iOS user

The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.

Stefan S

iOS user

This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.

Samantha Klich

Android user

Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.

Anna

iOS user

I think it’s very much worth it and you’ll end up using it a lot once you get the hang of it and even after looking at others notes you can still ask your Artificial intelligence buddy the question and ask to simplify it if you still don’t get it!!! In the end I think it’s worth it 😊👍 ⚠️Also DID I MENTION ITS FREEE YOU DON’T HAVE TO PAY FOR ANYTHING AND STILL GET YOUR GRADES IN PERFECTLY❗️❗️⚠️

Thomas R

iOS user

Knowunity is the BEST app I’ve used in a minute. This is not an ai review or anything this is genuinely coming from a 7th grade student (I know 2011 im young) but dude this app is a 10/10 i have maintained a 3.8 gpa and have plenty of time for gaming. I love it and my mom is just happy I got good grades

Brad T

Android user

Not only did it help me find the answer but it also showed me alternative ways to solve it. I was horrible in math and science but now I have an a in both subjects. Thanks for the help🤍🤍

David K

iOS user

The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!

Sudenaz Ocak

Android user

In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.

Greenlight Bonnie

Android user

I found this app a couple years ago and it has only gotten better since then. I really love it because it can help with written questions and photo questions. Also, it can find study guides that other people have made as well as flashcard sets and practice tests. The free version is also amazing for students who might not be able to afford it. Would 100% recommend

Aubrey

iOS user

Best app if you're in Highschool or Junior high. I have been using this app for 2 school years and it's the best, it's good if you don't have anyone to help you with school work.😋🩷🎀

Marco B

iOS user

THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮

Elisha

iOS user

This app is phenomenal down to the correct info and the various topics you can study! I greatly recommend it for people who struggle with procrastination and those who need homework help. It has been perfectly accurate for world 1 history as far as I’ve seen! Geometry too!

Paul T

iOS user