Graphing Proportional Relationships
Equations of Proportional Relationships
Identifying Proportional Relationships
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100
State the vocabulary word for this definition: equation that represents equal ratios
A proportion
100
Is this equation proportional? y= 3x
If so, what is the constant of proportionality (K)?
Yes
k=3
100
Are these ratios proportional? How do you know? 
Yes, simplifies to the same ratio/fraction
100
What is the ratio for the Constant of Proportionality?
y/x
100
What is another name for unit rate?
Constant of proportionality
200
State the vocabulary word for this definition: a relationship in which two ratios are equivalent.
Proportional or equivalent ratios
200
Is this equation proportional? If so, what is the constant of proportionality? How do you know?
y= 4x + 10
Not proportional, Proportional relationships follow the form y=kx
200
Is the graph a proportional relationship? Why?
NO
Does not go through the origin
200
What number can replace r to make these ratios equivalent?
r=77
200
What can you take away from SEVEN to make it EVEN?
The "S"
SEVEN - S = "EVEN"
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? How do you know?
No, y over x does not all simplify to the same ratio
300
Given the table is proportional. Solve for K
K = 13
300
Morgan pays $1.25 for a soda for each of her friends. If she is buying soda for 4 friends, how much will she spend?
$5
400
What is the equation formula for a proportional relationship?
y = kx or y=k*x
400
Write an equation for this proportional graph.
y= 4x
400
Is the table proportional? If so, what is the constant of proportionality?
Yes it is proportional, k=9
400
y/x=6/2
What is this constant of proportionality?
k=3
400
What college did Mrs. Killion graduate from?
Defiance College
500
is this graph a proportional relationship ? Explain how you know.
Yes, straight line going through the origin.
500
Write an equation for the table given the table is proportional.
Y= 3/2 x
500
a) yes, they both reduce to the same ratio
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 for each recipe? Explain how you know.
64 cups of water
500
Using the point (1, r), determine the constant of proportionality. Then, write the equation.
What is unit rate?