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Practice - Proportional Relationships
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Practice Page

Directions: Read each problem carefully!

1.
Does the table shown at the right demonstrate a proportional relationship?
Explain.
a
2
4
6
8
b
14
28
42
56

Choose:
 
Yes
No



2.
The perimeter of a regular pentagon can be represented by the equation P = 5s, where P is the perimeter and s is the length of a side.
Does this equation represent a proportional relationship?
Explain.
pentagon
In a regular pentagon,
all of the sides are
of the same length.
Choose:
 
Yes
No



3.
Does the table shown at the right demonstrate a proportional relationship?
Explain.
table4a
Choose:
 
Yes
No




4.
Examine the graph at the right.
a) Explain why this graph displays a proportional relationship?
lapgraph
  b) If r = unit rate, explain the meaning of (1, r).
 
c) What is the constant of proportionality?
 



5.
Two model helicopters take off at the same time. Helicopter A rises 5 meters every 2 seconds. Helicopter B rises 4 meters every 4 seconds.

a)
Fill in the missing ordered pairs on the coordinate graph at the right for each helicopter.
helicopter2
  b) Does the rise of each helicopter represent a proportional relationship? Explain.

  c) Using ratios, explain why helicopter A is rising faster than helicopter B.
 

d) State the constant of proportionality associated with the rise of each helicopter.




6.
Carley ordered 10 bottles of WaZo Colored Hair Spray for $50.60. Which of the following equations represents the proportional relationship between y, the total cost of the hair spray and x, the number of bottles ordered?
purplehair
Choose:
 
50.60 x = y
5.06 x = y
  purp1 purp2



7.
A line passing through unknown point A and plotted point B represents a proportional relationship.

If point B lies at (8,6), which of the ordered pairs shown below, could represent the coordinates of point A?

Choose:
 
(4, 2)
(3, 4)
  (0, 2) (6, 4.5)
GraphAB



8.
The number of chaperons on a field trip is proportional to the number of students, as shown in the table at the right. tableABC
 
Which of the following choices represents the values for A, B and C, in that order?
Choose:
 
8, 6, 32
8, 10, 24
6, 8, 24 6, 8, 32



9.
The graph at the right shows the relationship between x-values and y-values in a given situation. Which of the following choices is the constant of proportionality for this graph?
Choose:
 
c1
c4
 
c3
c2
graphxy



10.
Which of the following choices represents the constant of proportionality associated with walkers A and B, in that order?
(Dots indicate locations of grid intersections.)
walkergraph
Choose:
 
wm1
wm2

 
wm3
wm4

 

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