Graphing Proportional Relationships
Equations of Proportional Relationships
Identifying Proportional Relationships
Solve
100
What is the ordered pair of the origin?
(0,0)
100
What is the equation that represents a proportional relationship?
y=kx
100
Are these ratios proportional? 
Yes
100
What is the equation to represent the Constant of Proportionality?
k=y/x
200
Using this graph, What is the equation? 
y= 1/6x
200
Is this equation proportional? y= 3x
If so what is the constant of proportionality?
Yes
k=3
200
a) yes
200
y/x=6/2
What is this constant of proportionality?
3
300
What are 2 ways to tell if a graph is proportional?
If the line is straight, meaning there's a constant k.
Goes through the origin.
300
Is this equation proportional? If so what is the constant of proportionality?
y= 3/4x
proportional
k= 3/4
300
Is the graph a proportional relationship? Why?
No
Does not go through the origin
300
Solve
n=3.8
400
Is this graph proportional? How do you know?
Yes, line goes through (0,0) and k=50.
400
Is this equation proportional? If so what is the constant of proportionality?
y= 4x + 10
Not proportional
400
Is the table proportional? Why?
Yes it is proportional, same constant k=9.
400
Given the table is proportional. Solve for K
K = 13
500
Recipe 1 is given by the equation y = 4x where x represents the cups of lemonade mix and y represents the cups of water.
If Tyler had 16 cups of lemonade mix, how many cups of water would he need?
64 cups of water
500
Write an equation for the table given the table is proportional.
Y= 3/2 x
500
Is the table proportional? Why?
No, not the same constant.
500
8.75 hours