# DETERMINE THE TABLE REPRESENTS A PROPORTIONAL RELATIONSHIP WORKSHEET

Tell whether x and y show direct variation. Explain your reasoning.

Problem 1 :

Solution

Problem 2 :

Solution

Problem 3 :

Solution

Problem 4 :

Solution

Problem 5 :

Solution

Problem 6 :

The table shows the profit y for recycling x pounds of aluminum. Tell whether x and y show direct variation.

Solution

Problem 7 :

Describe and correct the error in telling whether x and y show direct variation

Solution

Problem 8 :

Tell whether x and y show direct variation. If so, write an equation of direct variation

Solution

1)   the constant of variation is not same, the table does not represent direct variation.

2)  constant of variation is the same, it represents direct variation.

3)   the table does not represent the direct variation.

4)  the table represents the direct variation.

5)  the table does not represent direct variation.

6)  the constant of variation is the same, it represents direct variation.

7)  It is not a direct variation.

8)   the constant of variation is not same, it is not a direct variation.

Tell whether x and y show direct variation, inverse variation, or neither.

Problem 1 :

Solution

Problem 2 :

Solution

Problem 3 :

Solution

Problem 4 :

Solution

1)  The ratio is not a constant. So, the given table represents the direct variation.

2)  The ratio of y to x is not constant. So, the table represents the neither relationship.

3)  The ratio between y to x is constant. So, the table represents inverse variation.

4)  The ratio between y to x is not constant. So, it is direct variation.

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