PROPORTIONAL RELATIONSHIPS WORKSHEET
About "Proportional relationships worksheet"
Proportional relationships worksheet :
Worksheet on proportional relationships is much useful to the students who would like to practice solving problems on "Determining if the relationship is proportional".
Proportional relationships worksheet - Problems
1. Examine the given table and determine if the relationship is proportional. If yes, determine the constant of proportionality.
2. Examine the given table and determine if the relationship is proportional. If yes, determine the constant of proportionality.
3. Examine the given table and determine if the relationship is proportional. If yes, determine the constant of proportionality.
4. Examine the given table and determine if the relationship is proportional. If yes, determine the constant of proportionality.
5. Examine the given table and determine if the relationship is proportional. If yes, determine the constant of proportionality.
Proportional relationships worksheet - Solution
Problem 1 :
Examine the given table and determine if the relationship is proportional. If yes, determine the constant of proportionality.
Solution :
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
Plug x = 4 and y = 48
48 = k(4)
12 = k
Hence the constant of proportionality is "12"
Problem 2 :
Examine the given table and determine if the relationship is proportional. If yes, determine the constant of proportionality.
Solution :
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.
Problem 3 :
Examine the given table and determine if the relationship is proportional. If yes, determine the constant of proportionality.
Solution :
Let us get the ratio of "x" and "y" for all the given values.
2 / 1 = 2
4 / 2 = 2
8 / 4 = 2
10 / 5 = 2
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
Plug x = 2 and y = 1
1 = k(2)
1 / 2 = k
Hence the constant of proportionality is "1 / 2"
Problem 4 :
Examine the given table and determine if the relationship is proportional. If yes, determine the constant of proportionality.
Solution :
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.
Problem 5 :
Examine the given table and determine if the relationship is proportional. If yes, determine the constant of proportionality.
Solution :
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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