Unit Rate
Proportional Relationships
Graphs
Tables
Vocabulary
100
Find the unit rate of the following ratio. How many pounds of dog food are needed for 1 dog? (pounds/# of dogs)
7/4
1.75lb/ dog
100
Are the ratios proportional?
3/5 and 6/15
NO!
100
Which graph shows a proportional relationship?
C
100
What is the constant of proportionality, according to the table?
Constant of Proportionality: 45
100
What is the term used to determine the constant of proportionality?
The Unit Rate
200
If 4 bananas cost $3.00, what is the price of each banana?
$0.75/ 1 banana
200
A recipe calls for 2 cups of sugar and 3 cups of flour. If Kelly wants to use 9 cups of sugar, how much flour is needed to be a proportional.
2/3 = 9/x
3 * 4.5 = 13.5 cups of flour
200
What 2 things must be true about the graph of a proportional relationship?
- Go through the origin
- Straight line
200
Find the constant of proportionality from the table.
x: # of Mules y: Bales of Hay
Constant of Proportionality = 0.5
200
A rate or ratio with a denominator of 1 is called a ______________________________.
unit rate
300
Jemma reads 37 pages in 20 minutes. What is her unit rate in pages per minute?
1.85 pages per minute
300
To be proportional, the ratios have to be ___________
equal / equivalent
300
Which graph represents a unit rate of 1?
B
300
Does this table represent a proportional relationship? If so, what is the constant of proportionality?
Not proportional!
300
A ______________________________ is a comparison of two quantities that have different units.
ratio
400
A recipe calls for 5 cups of sugar to 8 cups of flour. What is the unit rate of cups of sugar per cup of flour?
0.625 cups of sugar / 1 cup of flour
400
Does the graph represent a proportional relationship? How do you know?
No - the graph does not pass through the origin.
400
Is this relationship proportional? If so, what is the constant of proportionality? 
Not proportional
400
Does this table represent a proportional relationship? How do you know?
No, it does not go through the origin (0,0).
400
Two quantities are _____________ if the ratio comparing them are equivalent
proportional
500
Hot Cheetos cost $3.12 for a 24-oz bag, and Takis cost $5.28 for a 48-oz bag. Find the unit rates of both bags of chips. y/x
unit rateHC = 0.13
unit rateT = 0.11
500
Ms. Castle can run 3 miles in 15 minutes. At this rate, how long would it take her to run 10 miles?
Round to the nearest whole number.
50 minutes
500
The graph below shows water use over time when taking a shower. Give the constant of proportionality as a unit rate and include both units.
5 gallons of water per minute
500
The table shows a proportional relationship between cups of sugar and cups of flour in a recipe. Give the unit rate of cups of flour per cup of sugar.
y (flour): 12 , 15 , 18
x(sugar): 4 , 5 , 6
3 cups of flour per cup of sugar
500
What is happening in class tomorrow?
TEST!