Graphing Proportional Relationships
Equations of Proportional Relationships
Identifying Proportional Relationships
Substitution
Unit Rates
100
What are the coordinates of the origin?
(0,0)
100
Is this equation proportional? y= 3x
If so, what is the constant of proportionality (K)?
Yes
k=3
100
Is the equation y=2x proportional?
Yes it is proportional
100
In the equation y=3x,
What is y if x=2
y=6
100
Christian drives 96 miles in 1.5 hours. What is his speed in miles per hour?
What is 64 miles per hour
200
a relationship in which two ratios are equivalent
proportional
200
Is this equation proportional? If so, what is the constant of proportionality?
y= 4x + 10
Not proportional
200
Is the graph a proportional relationship? Why?
NO
Does not go through the origin
200
In the equation y=3x
What is y if x=16
y=48
200
What is another name for unit rate? Hint: Three words
What is Constant of Proportionality
300
What are 2 ways to tell if a graph is proportional?
-a straight line
-goes through the origin
300
Is this equation proportional? If so what is the constant of proportionality? (K=)
y= ¾ x
proportional
k= 3/4
300
Is the table proportional?
No
300
In the equation y=3x
What is x if y=27
x=9
300
If Gary mowed 16 lawns in 8 hours, what is his unit rate of lawns per hour
2 lawns per hour
400
Is this graph proportional?
YES
400
Using this graph, What is the equation? 
y= 1/6x
400
Is the table proportional?
Yes it is proportional
400
In the equation y=3x
What is x if y=78
x=26
400
If Mike bought 6 pies for $30.60, what is the price per pie
The price is $5.10 per pie
500
is this graph a proportional relationship ?
Yes
500
Write an equation for the table given the table is proportional.
Y= 3/2 x
500
Is the equation proportional? If so, what is K
2y=8x
Yes, k=4
500
In the equation y=12x
What is y if x=15
y=180
500
The point (1, r) on a graph, what does r mean?
Unit Rate OR Constant of Proportionality