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Identifying Proportional Relationships Worksheet

The constant value of the ratio between two proportional quantities is known as the proportional relationship. It is often termed the ‘constant of proportionality. Whenever variables are indirectly or directly proportional to each other, their relationship is represented as y = k /x or y = kx. Here, K is the constant of proportionality or proportional relationship. Constant of Proportionality is used to determine the rate of change. 

Grade 7
Rates And Proportional Relationships
7.RP.A.2
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Teaching Identifying Proportional Relationship 

 

  • Direct Variation: Y = kx is the equation used to represent the direct variation. In this case, both x and y increase at the same rate. 


 

  • Inverse Variation: Y = k / x is the equation used to represent the inverse variation. In this case, y increases and x decreases. This can be the opposite too. 


 

  • In both cases, K is the constant of Proportionality. 



 

Constant of Proportionality = Y = kx or Y = k / x. 


 

 

 

 

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


 

Q. Identify the constant of proportionality, if  y = 27 and x = 3 and y ∝ x. 


 

Step 1: Write the Equation of the proportional relationship. 

So, y = kx. 


 

Step 2:  Put the values and simplify the equation. 


 

27 = k * 3 

K = 27 / 3. 

K = 9. 


 

Hence, the constant of proportionality is equivalent to 9. 


 

Why should you use an identifying proportional relationship worksheet for your students? 

 

  • Solving these worksheets will help your students to easily solve problems based on proportional relationship or constant of proportionality. 


 

  • Using these worksheets, students can learn about different concepts like inverse variation, direct variation and so on. 


 

Download Identifying Proportional Relationship Worksheet PDF

 

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

Teaching Identifying Proportional Relationship 

 

  • Direct Variation: Y = kx is the equation used to represent the direct variation. In this case, both x and y increase at the same rate. 


 

  • Inverse Variation: Y = k / x is the equation used to represent the inverse variation. In this case, y increases and x decreases. This can be the opposite too. 


 

  • In both cases, K is the constant of Proportionality. 



 

Constant of Proportionality = Y = kx or Y = k / x. 


 

 

 

 

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


 

Q. Identify the constant of proportionality, if  y = 27 and x = 3 and y ∝ x. 


 

Step 1: Write the Equation of the proportional relationship. 

So, y = kx. 


 

Step 2:  Put the values and simplify the equation. 


 

27 = k * 3 

K = 27 / 3. 

K = 9. 


 

Hence, the constant of proportionality is equivalent to 9. 


 

Why should you use an identifying proportional relationship worksheet for your students? 

 

  • Solving these worksheets will help your students to easily solve problems based on proportional relationship or constant of proportionality. 


 

  • Using these worksheets, students can learn about different concepts like inverse variation, direct variation and so on. 


 

Download Identifying Proportional Relationship Worksheet PDF

 

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

Teaching Identifying Proportional Relationship 

 

  • Direct Variation: Y = kx is the equation used to represent the direct variation. In this case, both x and y increase at the same rate. 


 

  • Inverse Variation: Y = k / x is the equation used to represent the inverse variation. In this case, y increases and x decreases. This can be the opposite too. 


 

  • In both cases, K is the constant of Proportionality. 



 

Constant of Proportionality = Y = kx or Y = k / x. 


 

 

 

 

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


 

Q. Identify the constant of proportionality, if  y = 27 and x = 3 and y ∝ x. 


 

Step 1: Write the

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