Unit 5 Review: Proportional Relationships

Pool A holds twice as many people as pool B. Pool B holds twice as many people as Pool C. Select all the graphs that could represent how many people pool A, B and C hold for different hours in the day.

Hint be sure to look at the axes on each graph.

• 
• 
• 
• 
• 

Three bicyclist are training for a race. One day, they all rode about 20 miles, each at their own constant speed. Which bicyclist has the fastest pace? (Who would finish 1 mile first?)

• Bicyclist 1

• Bicyclist 2

• Bicyclist 3

How many boxes of pencils could he buy if he buys 6 pencils?

• 0

• 3

• 4.5

• 15

• 22

How many pencils could he buy if he buys 1 box of pencils?

• 0

• 3

• 4.5

• 15

• 22

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.

Two quantities are ​ (a)   if the ratios comparing them are equivalent.

• proportional

• nonproportional

• constant of proportionality

• proportion

Answer the following questions.

c

d

g

i

f

y = 1500x

10,500

yes

no

y=10x

1,500

4500

100

10

y=4500x

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.

When two ratios are equal they are .

(a)  

• Proportional

• Ratio

• Rate

• Unit Rate