Graphing
Identifying Proportional Relationships
Identifying Proportional Relationships Continued
Finding the C.O.P.
Unit Rate
100
Where does every proportional graph begin?
At the origin (0,0)
100
Does this table show a proportional relationship? What is the C.O.P.?
Yes! k=10
100
Are these fractions proportional? 
Yes!
100
What is the Constant of Proportionality equation?
y = kx
100
What is the denominator for every unit rate problem?
1
Unit rate always has 1 as a denominator
200
What letter do I use to represent Constant of Proportionality?
k
C.O.P. is represented by k
200
Does this table show a proportional relationship? What is the C.O.P.?
Not proportional. It has no C.O.P.
200
Is the graph a proportional relationship? Why?
No! It doesn't go through the origin
200
What is my C.O.P. of the following?
x 4 8 12
y 3 6 9
k= 3/4
200
Find the Unit Rate:
297 books on 11 shelves
27 books per shelf
300
What are 2 ways to tell if a graph is proportional?
If the line is straight
And it goes through the origin
300
Is this graph proportional? Why or why not?
No. It doesn't go through the origin
300
Is the table proportional? What is the C.O.P.?
No. It's non-proportional, so it has no C.O.P.
300
What is the C.O.P. equation for the table below?
y = 13x
300
What is the unit rate for both? And which one has the better unit rate?
A) 52 cards in 4 boxes
B) 54 cards in 6 boxes
A) 13 cards per box <---Better unit rate!
B) 9 cards per box
400
Is this graph proportional? What is it's C.O.P. equation?
YES
y=50x
400
Does the graph show a proportional relationship? What is the C.O.P. equation?
Yes.
y = 1/6 x
400
Is the table proportional?
Yes! It is proportional
400
Find my Constant of Proportionality
x 5 10 20
y 12 24 48
k = 12/5
400
Which one has the better unit rate? What is it?
A). 480 miles on 16 gallons
B). 600 miles on 15 gallons
B) Has the better unit rate because it's 40 miles per gallon
500
Please graph a proportional relationship. Include labels on both the x and y axis
Needs to go through the origin and be a straight line as well as be labeled
500
Does this table show a proportional relationship? What is the C.O.P.?
Yes.
k=3/2
500
Yes
500
Find the Constant of Proportionality.
k= 1/3
500
Ms. Nichols is shopping for Christmas. She wants to buy presents for 7th grade students. Below are the following prices for things she could buy. Which one has the best unit rate?
15 snowmen for $75
18 candy canes for $90
19 cups of hot cocoa for $76
It would be hot cocoa because it has a unit rate of $4 per cup