GRAPHING PROPORTIONAL RELATIONSHIPS WORKSHEET

Determine if the relationship shown in the table is proportional. Then each graph in the coordinate plane and connect with a straight line. Find the following.

i) Check if the relation is proportional

ii)  Constant of proportionality

iii) Equation

Problem 1 :

graphing-proportional-relationq1

Solution

Problem 2 :

graphing-proportional-relationq2.png

Solution

Problem 3 :

graphing-proportional-relationq3.png

Solution

Problem 4 :

graphing-proportional-relationq4.png

Solution

Problem 5 :

The cost of renting video games from games Inc is shown in the table. Determine whether the cost is proportional to the number of games rented by graphing on the coordinate plane.

graphing-proportional-relationq5.png

Solution

Problem 6 :

The slowest mammal on the earth is the tree sloth. It moves at a rate of 6 feet per minute. Determine whether the number of feet of sloth moves is proportional to the number of minutes it moves by graphing on the coordinate plane.

graphing-proportional-relationq6.png

Solution

Problem 7 :

Identify the constant of proportionality from the graph given below.

graphing-proportional-relationq7.png

Solution

Problem 8 :

Find the constant of proportionality.

graphing-proportional-relationq8.png

Solution

Answer Key

1) k = 2, y = 2x

2) non proportional relationship

3)  k = 2/3, y = (2/3)x

4)  non proportional relationship.

5)  non proportional relationship.

6)  Proportional relationship.

7)  k = 2

8) k = 1/2

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