Graphing Proportional Relationships
Identifying Proportional Relationships
Solve Proportional Problems
Equations of Proportional Relationships
Ratios of Fractions
100
what are 2 ways to tell if a graph is proportional
if the line is straight
goes through the origin
100
Are these ratios proportional? 
Yes
100
What is the vocabulary word with this definition:
A rate that is simplified where the denominator is 1.
Unit Rate
100
Is this equation proportional? y= 3x
Yes
100
What is the reciprocal of 2/5
5/2
200
what is the ordered pair of the origin?
(0,0)
200
Is the graph a proportional relationship? Why?
NO
Does not go through the origin
200
y/x=6/2
What is this constant of proportionality
3
200
If y is proportional to x and y=12 when x=3, what is the constant of proportionality, k, in y=kx?
k = 4
200
3/4 of a pound of almonds costs $6. What is the price per pound?
$8
300
Is this graph proportional? Explain.
YES. It is a straight line through the origin.
300
Is the table proportional?
No
300
Given the table is proportional. Solve for K
K = 13
300
Is this equation proportional?
y= 4x + 10
Not proportional
300
A bike travels 5/2 miles in 3/4 hours. What is the speed in miles per hour?
10/3 mph
400
Is a graph that goes through the point (0,4) proportional? Explain how you know
No because it wouldn't be going through the origin
400
Is the table proportional? What is the constant of proportionality?
Yes it is proportional. k = 9
400
Create three equivalent ratios for 6:7 and explain how you found them.
Multiply 6 and 7 by the same constant.
400
Using this graph, What is the constant rate of change?
6
400
A recipe uses 2/3 cup of sugar for every 5 servings. What is the amount of sugar for 1 serving?
2/15 cup
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
a) yes
500
8.75 hours
500
Is the table proportional? If so, why and what is the constant of proportionality? Write an equation for the relationship.
Proportional
y = 3/2 x
500
A car uses 7/8 gallon of fuel to travel 22 miles. What is the gallons per 1 mile?
7/176 gallons