PROPORTIONAL RELATIONSHIPS WORKSHEET

Problem 1 :

Examine the given table and determine if the relationship is proportional. If yes, determine the constant of proportionality.

Problem 2 :

Examine the given table and determine if the relationship is proportional. If yes, determine the constant of proportionality.

Problem 3 :

Examine the given table and determine if the relationship is proportional. If yes, determine the constant of proportionality.

Problem 4 :

Examine the given table and determine if the relationship is proportional. If yes, determine the constant of proportionality.

Problem 5 :

Examine the given table and determine if the relationship is proportional. If yes, determine the constant of proportionality.

1. Answer :

Let us get the ratio of x and y for all the given values. 

4 / 48  =  1 / 12

7 / 84  =  1 / 12

10 / 120  =  1 / 12

When we take ratio of x and y for all the given values, we get equal value for all the ratios.

Therefore the relationship given in the table is proportional.   

When we look at the above table when x gets increased, y also gets increased, so it is direct proportion. 

Then, we have 

y  =  kx 

Substitute x = 4 and y = 48.

48  =  k(4)

12  =  k

So, the constant of proportionality is 12.

2. Answer :

Let us get the ratio of x and y for all the given values.

1/100 = 1/100

3/300 = 1/100

5/550 = 1/110

6/600 = 1/100

When we take ratio of x and y for all the given values, we don't get equal value for all the ratios.

Therefore the relationship given in the table is not proportional.

3. Answer :

Let us get the ratio of x and y for all the given values.

4/48 = 1/12

7/84 = 1/12

10/120 = 1/12

When we take ratio of x and y for all the given values, we get equal value for all the ratios.

Therefore the relationship given in the table is proportional.

When we look at the above table when x gets increased, y also gets increased, so it is direct proportion.

Then, we have

y = kx

Substitute x = 4 and y = 48.

48 = k(4)

12 = k

So, the constant of proportionality is 12.

4. Answer :

Let us get the ratio of x and y for all the given values.

1/2 = 1/2

2/4 = 1/2

3/6 = 1/2

4/6 = 2/3

When we take ratio of x and y for all the given values, we don't get equal value for all the ratios.

Therefore the relationship given in the table is not proportional.

5. Answer :

Let us get the ratio of x and y for all the given values.

1/23 = 1/23

2/36 = 1/18

5/75 = 1/15

When we take ratio of x and y for all the given values, we don't get equal value for all the ratios.

Therefore the relationship given in the table is not proportional.

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