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Interpreting Proportional Relationship Worksheet

The constant value of the ratio between two quantities is known as the proportional relationship or constant of proportionality. The value of the proportional relationship depends on the proportion type given by the two quantities. These two quantities are direct variation and inverse variation. 

Grade 7
Rates And Proportional Relationships
7.RP.A.2.A
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Teaching Interpreting Proportional Relationships Easily 

 

  • To check whether two quantities are proportional or not, always find the ratio between them. 
     
  • If the ratio is equal, then they are in a proportional relationship or constant of proportionality. 
     
  • If two quantities are proportional to each other, they are defined as y = kx. 

 

Here is an example to solve a problem on interpreting proportional relationships. Let’s look at the given example mentioned below to understand more about the concept.
 

Q. 

Number of Days = x 369
Number of Articles = y 91827


 

 

 

 

 

Interpret the Proportional Relationship for the above table. 


 

Step 1: Apply the equation = y = kx. 


 

Step 2: To find the constant of proportionality, find the ratio between the number of days by the number of articles. 


 

K = y/x = 9 / 3 = 3, 18 / 6 = 3, 27 / 9 = 3. 



 

Why should you use an Interpreting Proportional Relationship worksheet for your students? 

 

  • Solving the Interpreting Proportional Relationship worksheet will help your students to find percent increase or percent decrease or price mark-up. 
     

 

  • The interpreting proportional relationship worksheet will help your students to quantify chances like the probability of events and finding odds. 

 

  • These worksheets will also help your students to scale diagrams based on drafting and architectural purposes. 
     

Download Interpreting Proportional Relationship Worksheet PDF
 

You can download and print this super fun interpreting proportional relationship worksheets from here for your students.

Teaching Interpreting Proportional Relationships Easily 

 

  • To check whether two quantities are proportional or not, always find the ratio between them. 
     
  • If the ratio is equal, then they are in a proportional relationship or constant of proportionality. 
     
  • If two quantities are proportional to each other, they are defined as y = kx. 

 

Here is an example to solve a problem on interpreting proportional relationships. Let’s look at the given example mentioned below to understand more about the concept.
 

Q. 

Number of Days = x 369
Number of Articles = y 91827


 

 

 

 

 

Interpret the Proportional Relationship for the above table. 


 

Step 1: Apply the equation = y = kx. 


 

Step 2: To find the constant of proportionality, find the ratio between the number of days by the number of articles. 


 

K = y/x = 9 / 3 = 3, 18 / 6 = 3, 27 / 9 = 3. 



 

Why should you use an Interpreting Proportional Relationship worksheet for your students? 

 

  • Solving the Interpreting Proportional Relationship worksheet will help your students to find percent increase or percent decrease or price mark-up. 
     

 

  • The interpreting proportional relationship worksheet will help your students to quantify chances like the probability of events and finding odds. 

 

  • These worksheets will also help your students to scale diagrams based on drafting and architectural purposes. 
     

Download Interpreting Proportional Relationship Worksheet PDF
 

You can download and print this super fun interpreting proportional relationship worksheets from here for your students.

Teaching Interpreting Proportional Relationships Easily 

 

  • To check whether two quantities are proportional or not, always find the ratio between them. 
     
  • If the ratio is equal, then they are in a proportional relationship or constant of proportionality. 
     
  • If two quantities are proportional to each other, they are defined as y = kx. 

 

Here is an example to solve a problem on interpreting proportional relationships. Let’s look at the given example mentioned below to understand more about the concept.
 

Q. 

Number of Days = x 369
Number of Articles = y 9
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