Graphing Proportional Relationships
Equations of Proportional Relationships
Identifying Proportional Relationships
Scale Factor
Complex Fractions
100
What is the ordered pair for the origin?
** Don't forget your parentheses around the ordered pair! **
(0,0)
100
Is this equation proportional? y= 3x
If so, what is the constant of proportionality? (K)
Yes
k=3
100
How do you find the constant of proportionality?
Y/X
100
An image with a scale factor larger than one.
Enlargement
100
1/4
_____
1/3
3/4
200
A relationship between two quantities that is changing at a CONSTANT rate is:
a. proportional
b. nonproportional
a. proportional
200
Is this equation proportional? If so what is the constant of proportionality? (K=)
y= 4x + 10
Not proportional
200
Is the graph a proportional relationship? Why?
NO
Does not go through the origin
200
Scale factor for a congruent image.
1
200
What operation do you use to find the unit rate?
Division
300
What are the two rules to know if a graph is proportional?
1. The line is straight (to show a constant rate)
2. The line goes through the origin (0,0)
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
2 x
____ = ______
5 20
x = 8
300
2/7
_______
6/8
16/42
400
Is this graph proportional? Explain WHY.
Yes, it is a straight line that goes through the origin.
400
Using this graph, What is the equation? Write your constant of proportionality as a FRACTION. 
y= 1/6x
400
Is the table proportional?
Yes it is proportional
400
3 24
____ = ______
7 x
x = 56
400
5/4
_____
7/6
30/28
500
A recipe for lemonade 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?
64 cups of water
500
Write an equation for the table given the table is proportional.
y = 3/2 x
or y = 1 1/2x
or y = 1.5x
500
How do you know if a table is proportional?
When you divide the y value with its x value, you get the same constant of proportionality in each row.
500
A map is drawn with a scale of 1 inch = 15 miles. Nicole measured the distance to the next town as 3 inches. How many miles does she have to travel to get to the next town?
45 miles
500
y = 9x. Find the unit rate.
9