Proportional & Non-Proportional Relationships Test REVIEW

Each of the representations below shows the relationship between the cost of an item, c, and the number of pounds purchased, p.
A.      c = 3p                
B.                   p          c
                          3       15
                          6        30
                          7        35
C.   For every 5 pounds of steak purchased, the cost is $3. 
D.   A graph with a straight line starting at the origin and going throught $5 for 1 pound.
Which representations have the same constant of proportionality

• B & D only
• A & D only
• B & C only
• A & B only

Perry earned $96 shoveling snow from 8 driveways.  At that rate, how much would he have made if he had shoveled only 6 driveways?

• $120
• $12
• $84
• $72

Tags

CCSS.6.EE.B.7

CCSS.6.RP.A.2

CCSS.6.RP.A.3

The graph shows the cost per hour for renting a jet ski at the lake.
Which equation represents the same constant of proportionality shown in the graph?

• c = 12.5h
• c = 50h
• c = 25h
• c = 5h

Tags

CCSS.6.EE.B.6

CCSS.6.EE.C.9

CCSS.6.RP.A.2

CCSS.6.RP.A.3

Which equation represents the relationship between p, the number of photos printed, and m, the minutes it takes to print the?
Minutes (m)    Photos (p)
   1                            2
   5                          10
 12.5                       25
  25                         50

• p = 12.5m
• p = 2m/5
• p = 2m
• p = 5m

Tags

CCSS.6.EE.B.6

CCSS.6.EE.C.9

CCSS.6.RP.A.3

Tamara is using 2 kinds of juice to mix punch for a party.  The table below shows the cups of juice for different numbers of serving.
Serving Size       1    2   3    4    5 
Orange (c)              2   4    6    8  10
Pineapple (c)         3  6  9  12  15
What is the constant of proportionality that defines this relationship?

• For every 6 cups of orange juice there are 4 cups of pineapple juice.
• For every 10 cups of orange juice there are 5 cups of pineapple juice.
• For every 4 cups of orange juice there are 6 cups of pineapple juice.
• For every 3 cups of range juice there are 2 cups of pineapple juice.

Blue and yellow paint are mixed to make a shade of green paint.  The constant of proportionality for this mixture is 2.  Which table could represent this mixture of blue and yellow paint?

• A
• B
• C
• D.

Which statement is NOT true?

• All linear relationships have a constant rate of change.
• If you know the constant of proportionality, you also know the unit rate and the constant rate of change.
• A straight line passing through the origin represents a proportional relationship
• If you have a constant rate of change, you will have a constant of proportionality.

Tags

CCSS.8.EE.B.5

CCSS.8.EE.B.6

CCSS.8.F.B.4

CCSS.8.SP.A.3

 The table shows the cost for buying different numbers of books from a discount store.  Which statement best describes the relationship between the number of books purchased and the total cost as shown in the table?
       number of books (b)     cost (c)
             1                               4
             4                              16
             5                              20
             7                              30

•  The constant of proportionality is found in the first row of the table c = 4b
• The relationship has a constant of proportionality of 4.
• The table does not show a relationship with a constant or proportionality represented by the equation c = 4b
• The relationship has a constant of proportionality of 4.

Rita made 12 pairs of earrings in 2 hours.  Does the table present proportional relationships?

• Yes, the constant of proportionality is 6.
• No, there is not a constant of proportionality.
• Yes, there is a constant of proportionality between most of the numbers.
• Yes, because there is a constant rate of change.

REVIEW QUESTION
Is this table proportional or non-proportional?

• Proportional
• Non-Proportional

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

CCSS.6.RP.A.3