Proportional Tables
Proportional Graphs
Proportional Word Problems
Proportional Equations
Vocabulary
100
Is this table proportional? If yes, what is my C.O.P? How do you know?
Yes, it is proportional. My C.O.P is 10.
100
This graph shows the relationship between what two variables? Which variable is my x value and which variable is my y value?
Hours (x) and miles walked (y)
100
I go to the story and buy meat for $8.99 a pound. Is this a proportional relationship? Why or why not?
Yes it is proportional because there is a constant rate of $8.99 per pound
100
In the equation, y =4x, what is my k?
4!
100
It is a comparison of two quantities, in which for every a units of one quantity, there are b units of another quantity.
ratio
200
Is this table proportional? If so, what is the C.O.P? How do you know?
No, this relationship is NOT proportional. There is no constant rate of change between my x and y variables.
200
Is this graph proportional? Why or why not?
No, it is NOT proportional. It does not pass through (0,0) and (0,0) would not be a part of this graph. It passes through (0,1).
Another reason: There is not constant rate of change. My y/x value for one point is 1 and 3/4 for the other point showing there is not constant rate of change.
200
This table is proportional. Write a REALISTIC word problem to represent this table. 
Answers vary
200
What does k stand for?
Constant of proportionality
200
It is a ratio that compares two quantities with unlike units
rate
300
Is this table proportional? If so, what is the C.O.P? How do you know?
Yes, it is proportional and the C.O.P is 7.
300
Is this graph proportional? List THREE reasons why it is or is not proportional.
1. It is a straight line
2. (0,0) is a part of the graph
3. There is a constant rate of change of 8; every 1 kg of cheese costs 8 euros
300
Cassidy drove at a constant rate. It took Cassidy 2 hours to drive 100 miles. How far would she drive in 1 hour? How do you know?
Cassidy is driving at a constant rate so I can use my proportionality equation. Cassidy would drive 50 miles in one hour. I know this because y (100) divided by x (2) equals 50.
300
What are my TWO proportionality equations? And when do I use each of them?
k= y/x. I use that when I need to find my proportions from a table or graph. y=kx. I use that when I am writing equations from a graph or table.
300
It compares the first quantity per every 1 unit of the second quantity
unit rate
400
Is this table proportional? If so, what is the C.O.P? How do you know?
Yes, it is proportional and the C.O.P is 13
400
Is this graph proportional? If so what is my C.O.P?
C.O.P= 1/2
400
13 candy bars weigh 26 ounces. What is the weight of 35 candy bars?
35 candy bars weigh 70 ounces
400
What is my proportionality equation from this table? Use a and b as your variables.
b=7a
400
It is when 2 quantities vary and have a constant ratio between them.
proportional relationship
500
This table is proportional. Find the C.O.P.
The C.O.P is 0.6.
500
What is my unit rate?
My unit rate if (1, 2/3). For every 1 minute, 2/3 laps are completed.
500
A car travels 120 miles in 3 hours (with a constant speed). How long will it take to travel 200 miles?
It will take 5 hours to travel 200 miles because my rate of change is 40 miles per hour.
500
Write an equation of this proportional line.
y=300x
500
It is an equation stating that 2 ratios are equivalent
proportion.