Graphing Proportional Relationships
Equations of Proportional Relationships
Identifying Proportional Relationships
Solve
Challenge
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
100
free point square lol
congratulations
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
200
11/7 22/14 33/22 44/28
Change one digit to make the relationship proportional
22 -> 21
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
300
Squidward can paint 7/8 of a mural in 3/4 of an hour. What is the unit rate of paintings in murals per hour?
7/6 ==OR== 1 and 1/6
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
400
The total cost (y) (in dollars) for purchasing bulk organic almonds is directly proportional to the weight (x) (in pounds). If (3.5) pounds of almonds cost ($42.70), what is the constant of proportionality (k), and what does it represent?
k=12.2 which represents cost of 1 pound of almonds
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
500
y/x=k
Does this equation represent a proportional relationship?
Yes (multiply both sides by x)