Proportional and Non-Proportional Relationships

Which best describes the equation?
y = 75x

• Proportional

• Nonproportional

Why does this graph show a non-proportional relationship?

• Because it is proportional

• It goes through the origin

• It does not go through the origin

• It is a straight line

Which of the equations below is proportional?

• y = 6x

• y = 3x + 2

• y = 2x + 4

• y = -2x -1

Your answer must be in SIMPLEST FORM.

• 1/3 c. orange juice to 1 serving of fruit smoothie

• 6/5 c. orange juice to 1 serving of fruit smoothie

• 6/15 c. of fruit smoothie/1 c. orange juice

• 2/5 c. orange juice to 1 serving of fruit smoothie

Does the equation show a proportional relationship?

• Yes

• No

What is k in this proportional relationship?

• 60 

• 120

• 1

• 180

A family makes homemade pickles. They pick the pickles at a rate of 80 pickles per 5 jars. Which answer choices best represent packing y pickles in x jars at that rate? Select TWO correct answers.

Answer the following questions.

c

d

g

i

f

1,500

100

y=10x

no

10,500

10

4500

yes

y = 1500x

y=4500x

Is the graph proportional?

• Yes

• No

These two lines are graphs of nonproportional relationships. What makes them nonproportional?

• They are not straight

• They are not linear

• They do not go through the origin

• They do not show a constant rate of change