What is the equation to find the constant of proportionality?
y/x = k
What is the constant of proportionality?
13
What is the multiplicative equation that describes a proportional relationship? Use the variables k, x & y.
y = kx
The two requirements for a graph to be proportional are that:
It must be a straight diagonal line
It must start at the origin (0,0)
Aaron thinks that this graph is proportional because it starts at the origin. Do you agree with Aaron? Why or why not?
No, the line must be a straight diagonal line.
James says that this table is proportional because you can add six. Do you agree with him?
No, you can not add with proportional relationships. You can only multiply or divide.
In the equation y = 1260x, what is the constant of proportionality?
1260
Does this graph represent a proportional relationship?
Yes, it is proportional
Does this graph represent a proportional relationship?
No
What is the constant of proportionality?
0.5 or 1/2
Which equation does not describe a proportional relationship?
A. y = 10x
B. y/x = 7
C. x + 3 = y
D. y/56 = x
C. x + 3 = y
What does x represent on this graph? What does y represent on this graph?
x = Earth weight
y = Moon weight
Which student's graph is proportional? How do you know?
Morgan
If y = 3x and for every 2 people there are 6 cookies; what is my constant of proportionality?
3
How much money can be made after 6 hours of work?
$54
Tanya can make $10 for every bracelet she sells. She knows that her equation is y = 10x, where y equals the amount of money she can make and x equals the amount of bracelets. How much money can she make if she sales 5 bracelets?
$50
For every 6 pounds the earth weighs, the moon weighs what?
1 pound
What is the constant of proportionality in this graph?
There is no constant of proportionality because this graph is non-proportional.
I can find the constant of proportionality by finding the "per one". What is this also known as?
The unit rate
What are the two constant of proportionality for this table?
3/2 & 2/3
Tanya can make $10 for every bracelet she sells. She knows that her equation is y = 10x, where y equals the amount of money she can make and x equals the amount of bracelets. How many bracelets will she sell if she makes $600?
60 bracelets
What is the constant of proportionality shown in the graph?
1/6
Would this table make a proportional or non-proportional graph? How do you know?
Proportional. The c.o.p. is 1/5 (every x is being divided by 5)