Graphing Proportional Relationships
Equations of Proportional Relationships
Identifying Proportional Relationships
Solve
100
What ordered pair is used for 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
Viona rides their bike for 2 1/2 hours and travels 42 miles. What is their unit rate in miles per hour?
16.8 miles per hour
200
How do you tell if a graph represents a proportional relationship.
Straight line through the origin or if y/x is constant.
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? Explain.
NO
Does not go through the origin
200
Solve
n=3.8
300
Are all line graphs proportional relationships?
no
300
Is this equation proportional? If so what is the constant of proportionality? (k=)
y= ¾ x
proportional
m= 3/4
300
Is the table proportional? Explain
No
It does not have a constant of proportionality
300
Given the table is proportional. How many apples would 9 trees have?
117 apples
400
Is this graph proportional? Explain
YES Because it is a straight line that goes through the origin
400
Using this graph, What is the equation?
y= 5x
400
Is the table proportional? Explain.
Yes it is proportional because it has a constant of proportionality which is 9
400
Given the table is proportional, how many trees would it take for there to be 494 apples?
38 trees
500
Paul drives to his friends house 250 miles in 5 hours. If this is drawn on a graph where y is miles and x is hours, then what is the ordered pair coordinates for if this data was graphed on a coordinate plane?
(5,250)
500
Write an equation for the proportional relationship shown in the table
Y= 3/2 x
500
Are the following ratios proportional
48:64 and 72:96
yes
500
Sam took 8 hours to drive 272 miles. If he drives at a consistant rate, how many miles can he drive in 10 hours?
340 miles