PROPORTIONAL AND NONPROPORTIONAL SITUATIONS USING A TABLE

Example 1 :

Determine if the linear relationship represented by the table given below is a proportional or non-proportional relationship.

Solution :

From the table, find the ratio between each value of y and its corresponding value of x.

y/x = 1/5 = 1/5

y/x = 8/40 = 1/5

y/x = 13/65 = 1/5

So, the ratio between the values of y and and their corresponding values of x is constant. Hence, the relationship represented by the table given above is proportional.

Example 2 :

Determine if the linear relationship represented by the table given below is a proportional or non-proportional relationship.

Solution :

From the table, find the ratio between each value of y and its corresponding value of x.

y/x = 30/2 = 15

y/x = 90/8 = 11.25

y/x = 150/14 = 10.71

So, the ratio between the values of y and and their corresponding values of x is not constant. Hence, the relationship represented by the table given above is non-proportional.

Example 3 :

The values in the table represent the numbers of U.S. dollars three tourists traded for Mexican pesos. The relationship is linear. Is the relationship proportional or non-proportional?

Solution :

From the table, find the ratio between each value of "Mexican pesos received" and its corresponding value of "U.S. dollars traded".

Let "M" stand for Mexican pesos received and "U" stand for U.S. dollars traded.

U/M = 1,690/130 = 13

U/M = 3,315/255 = 13

U/M = 6,565/505 = 13

So, the ratio of pesos received to dollars traded is constant at 13 Mexican pesos per U.S. dollar. This is a proportional relationship.

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