Proportional Relationship

Find the constant of proportionality in the graph below.

• 9

• 4.5

• 3

• 1.5

What is the constant of proportionality for the following graph?

• 80

• 20

• 40

• 160

Based on the information in the table, what is the constant of proportionality?

• k = 8

• k = 20

• k = 5

• k = 10

Which graphs show a proportional relationship?

• A and B

• B and D

• A and C

• C and D

Two quantities are in a ​ (a)   if the two quantities vary and have a constant ratio between them.

• proportional relationship

• proportional

• unit rate

• nonproportional

• constant of proportionality

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.

Which situation represents a proportional relationship?

Select the correct answer ○ in each row.

The table is​ ​ (a)   , because it ​ (b)   a constant ratio.

If so, what is the constant of proportionality?​ (c)  

• non-proportional

• proportional

• does not have

• has

• no constant

• k=14

Answer explanation

A proportional relationship means that two quantities maintain a constant ratio. In this case, the relationship does not exhibit a constant ratio, hence the answer is No.

Answer the following questions.

c

d

g

i

f

10,500

4500

1,500

y=10x

no

y=4500x

100

y = 1500x

10

yes

When two ratios are equal they are .

(a)  

• Proportional

• Ratio

• Rate

• Unit Rate