Graphing Proportional Relationships
Equations of Proportional Relationships
Identifying Proportional Relationships
Solve
Study Guide
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
Are these ratios proportional? 
Yes
100
What is the ratio for the Constant of Proportionality?
y/x
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
Solve
n=3.8
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
Peter was picking apples, the equation shows his rate, Y = 28/2 x. The table below shows the rate at which Sue picked apples. Who picked less apples per tree? How many less apples?
Sue picked less apples, the constant of proportionality or "rate" is 13, Peter picked 14 apples per tree. Sue picked 1 less apple per tree.
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?
What is $5
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
y/x=6/2
What is this constant of proportionality?
k=3
400
Isabella is buying candy bars for her friends. The candy bars cost $1.05. She is buying them for 3 friends, costing her a total of $3.15. What is the constant of proportionality in this situation?
What is $1.05
500
is this graph a proportional relationship ?
Yes
500
Jenny bought a ticket to go on a ride, the equation that represents this situation is Y=1.25x, the table below shows how much Kelly paid, who paid more? and by how much?
Kelly paid more per ticket, Y= 3/2 x, the constant of proportionality is $1.50, so Kelly paid $0.25 cents more per ticket. Jenny paid $1.25 per ticket.
500
a) yes
500
8.75 hours
500
The point (1, r) on a graph, what does r mean?
What is unit rate?