Graphing Proportional Relationships
Equations of Proportional Relationships
Identifying Proportional Relationships
Proportional Relationships RANDOM
100
Is the graph proportional? 
YES
100
Is this equation proportional? y= 3x
If so what is the constant of proportionality? (k)
PROPORTIONAL
k = 3
100
True or False?
To find the constant of proportionality, you divide the “x” by the “y”
FALSE
100
How do you find the constant of proportionality?
y/x
200
Which of the following is proportional?
a. 
A
200
Is this equation proportional? y= 4x + 10
If so what is the constant of proportionality? (k)
Not proportional
200
Is the graph a proportional relationship? Why?
NO
Does not go through the origin
200
(3,4) (6,12)
Are the two points part of the same proportional relationship?
NO
300
What is the ordered pair of the origin?
(0,0)
300
What does k represent in y=kx?
the constant of proportionality
300
5:10 is a ratio in a proportional relationship. What is the constant of proportionality?
k = 2
300
Given the table is proportional. Solve for K
K = 13
400
What 2 things have to be true about a proportional graph?
Line is straight
Line goes through the origin (0,0)
400
If the constant of proportionality is 1/4, what is the equation of the proportional relationship
y = 1/4x
400
Is the table proportional?
Yes, it is proportional
400
(4, 28) (9, 63)
Are these two points part of the same proportional relationship?
YES
500
What does the point (2,100) mean?
$100 in 2 hours
500
Kim tries to bike 15 miles (y) every 3 days (x)
What is the constant of proportionality and equation for the relationship?
k = 5
y = 5x
500
8:4 is a ratio in a proportional relationship. What is the constant of proportionality?
k=1/2
500
A recipe for chocolate chip muffins call for 4 cups of flour to 1 cup of chocolate chips. Which of the following shows a proportional ratio for the recipe?
a. 8 cups of flour to 2 cups of chocolate chips
b. 3 cups of flour to 1 cup of chocolate chips,
c. 1 cup of flour for 1 cup of blueberries.
A
600
Which point, on a graph, contains the constant of proportionality?
(1,k)
600
Using this graph, What is the equation?
y = 20x
600
Is the table proportional?
No, the table is not proportional
600
A teacher creates 3 questions every 5 minutes. Keeping a constant rate, how long would it take to create a game with 24 questions?
40 minutes