Graphing Proportional Relationships
Equations of Proportional Relationships
Identifying Proportional Relationships
Solve
Be So For "Real"
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
100
Which classification does this set belong in...
{0, 1, 2, 3, 4, 5...}
Whole Numbers
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? Why?
NO
Does not go through the origin
200
Solve. Emma travels 300 miles in 5 hours. At this rate, how far will she get in 7.5 hours?
450 miles
200
What are all the classifications for the following number?
-5
integer, rational, real
300
Are all line graphs proportional relationships?
no
300
Is this equation proportional? If so what is the constant of proportionality? (m=)
y= ¾ x
proportional
m= 3/4
300
Is the table proportional?
No
300
Given the table is proportional. Solve for m
m = 13
300
What are all the classifications for the following number?
The square root of 16.
natural, whole, integer, rational, real
400
Is this graph proportional?
YES
400
It takes 40 minutes for Jess to run 5 miles at a constant rate. Write an equation to represent this scenario.
y= 8x
400
Is the table proportional?
Yes it is proportional
400
y/x=6/2
what is this constant of proportionality
3
400
What are all the classifications for the following number?
Pi.
irrational, real
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
a) yes
500
Sam took 8 hours to drive 272 miles. What was the unit rate in miles per hour?
34 mph
500
The square root of a positive non-perfect square is always...
irrational