Identifying Proportional Relationships
Graphs of Proportional Relationships
Equations of Proportional Relationships
Ratios and Rates
Solving Proportional Word Problems
100
Are these ratios proportional? 
Yes
100
Is the graph a proportional relationship? Why?
NO
Does not go through the origin
100
Is this equation proportional? y= 3x
Yes
100
A recipe calls for 3/4 cup of oats to every 3 cups of sugar. Write the ratio of oats to sugar. Find the value of the ratio.
3/4 : 3
Value: 1/4
100
A pizzeria makes 7 pepperoni pizzas for every 3 cheese pizzas. Yesterday they made 42 pepperoni pizzas. How many cheese pizzas were made?
18 cheese pizzas
200
Is the table proportional?
No. There is no constant.
200
How can you tell if a graph is proportional?
*If the line is straight.
*If the line goes through the original.
*If there is a constant rate of change.
200
Is this equation proportional?
y= 4x + 10
Not proportional
200
A recipe calls for 3/4 cup of oats to every 3 cups of sugar. Write the ratio of sugar to oats. Find the value of the ratio.
3 : 3/4
Value: 4
200
It costs $45.96 for 3 phone cases. How much would it cost to purchase 8 phone cases?
$122.56
300
Is the table proportional?
Yes, it is proportional. k=9.
300
If the (-2, -7) is on a proportional relationship graph, what is the constant?
k=3.5 (or 7/2)
300
Write an equation that has a constant of 5.
y=5x
300
Danielle uses 6 lemons to make 3/4 of a gallon of lemonade. How many lemons does Danielle use per gallon?
8 lemons
300
Which is the best buy?
7 pencils for $1.40
6 pencils for $1.26
How much do you save per pencil?
7 pencils for $1.40 is a better deal.
You save $0.01 per pencil.
400
Find x so that 30:14 is proportional to x:1.54
x=3.3
400
Using this graph, What is the constant of proportionality?
k=1/6
400
A recipe calls for one cup of lemonade mix (x), for every 4 cups of water (y). Write an equation to represent this proportional relationship.
y=4x
400
Jayden hiked 3/4 of a mile in 2/3 of an hour. How fast was Jayden hiking per hour?
9/8 mph (or 1 1/8 mph)
400
Juliet’s video of her dog got 24 likes in 18 minutes. How many likes could she expect her video to have in an hour and a half?
120 likes
500
Solve for n.
n=3.8
500
Is this graph proportional? If so, what is the cost per hour?
YES. $50 per hour.
500
Is the table proportional? If so, write an equation to represent the relationship.
Yes.
y=3/2x
500
Fill in the missing values in the ratio table.
500
The library at school is organized by fiction and non-fiction books. There are 3 non-fiction books for every 7 fiction books. How many total books are there if the library has 240 non-fiction books?
800 total books