Nonproportional; the line does not pass through the
origin.
5-6 Graphing Proportional Relationships
Determine whether each relationship is
proportional by graphing on the coordinate
plane. Explain your reasoning.
7. The cost of 3-D movie tickets is $12.50 per ticket.
Determine whether the cost is proportional to the
number of tickets by graphing the relationship on the
coordinate plane. Explain your reasoning.
ANSWER: 5. ANSWER: Proportional; the line passes through the origin and is
a straight line.
Proportional; the line passes through the origin and is
a straight line.
9. The perimeter of a square is proportional to the
length of one side as shown in the graph.
6. ANSWER: a. Find and interpret the constant of proportionality. b. Explain what the points (0, 0), (1, 4) and (3, 12)
represent.
ANSWER: a. 4; For every 1 unit increase in side length, the
perimeter increases by 4 units.
b. The perimeter of a square with side length of 0
units is 0 units; the perimeter of a square with side
length of 1 unit is 4 units; the perimeter of a square
with side length of 3 units is 12 units.
Nonproportional; the line does not pass through the
origin.
Complete each table so that the relationship
between the two quantities is proportional.
Check your work by graphing on the coordinate
plane.
7. The cost of 3-D movie tickets is $12.50 per ticket.
Determine whether the cost is proportional to the
number of tickets by graphing the relationship on the
coordinate plane. Explain your reasoning.
ANSWER: eSolutions Manual - Powered by Cognero
15. ANSWER: Page 1
perimeter increases by 4 units.
b. The perimeter of a square with side length of 0
units is 0 units; the perimeter of a square with side
length of 1 unit is 4 units; the perimeter of a square
with side length of 3 units is 12 units.
5-6 Graphing Proportional Relationships
Complete each table so that the relationship
between the two quantities is proportional.
Check your work by graphing on the coordinate
plane.
ANSWER: In y = 3x, x and y have a proportional relationship. In
y = 3x + 1, x and y have a nonproportional
relationship.
23. Which graph of which line represents a proportional
relationship?
15. ANSWER: F
G
H
J
Graph A
Graph B
Graph C
Graph D
ANSWER: G
18. Persevere with Problems Explain how the
relationship of x and y in the graphs of y = 3x + 1 and
y = 3x differ.
ANSWER: In y = 3x, x and y have a proportional relationship. In
y = 3x + 1, x and y have a nonproportional
relationship.
23. Which graph of which line represents a proportional
relationship?
Write each ratio as a fraction in simplest form.
24. A bag of marbles has 20 red marbles and 45 blue
marbles. What is the ratio of red marbles to blue
marbles?
ANSWER: 25. A drawer has 12 pair of white socks and 9 pair of
black socks. What is the ratio of white socks to black
socks?
ANSWER: 26. A garden has 8 tomato plants and 4 pepper plants.
What is the ratio of pepper plants to total plants in the
garden?
ANSWER: F Manual
Graph A
eSolutions
- Powered by Cognero
G Graph B
H Graph C
Page 2