Unit Rate
Proportional Relationships
Graphs
Tables
Vocabulary
100
Name at least 3 other terms that also mean "unit rate."
Slope
k
Constant of Proportionality
Rate of Change
100
Are the ratios proportional? Explain how you know.
3/5 and 6/15
They are not proportional because:
1. They are not equivalent fractions, and
2. 3*2 = 6 but 5*2 is not 15
100
Which graph shows a proportional relationship?
C
100
What is the constant of proportionality, according to the table?
k = 45
200
If 4 bananas cost $3.00, what is the price of each banana?
$0.75
200
What is the formula for the constant of proportionality?
y=kx or k = y/x
200
What 2 things must be true about the graph of a proportional relationship?
- Go through the origin
- Straight line
200
Find the value of k from the table.
k = 1/2
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 of pages per hour?
111 pages per hour
300
In the equation y = 5x, what is the constant of proportionality?
5
300
Which graph represents a unit rate of 1?
B
300
Does this table represent a proportional relationship? If so, what is the value of k?
This is not proportional because some k-values are 5 and others are not.
300
A ______________________________ is a comparison of two quantities that have different units.
rate
400
A recipe calls for 1/3 of a cup of sugar to 3/4 cup of flour. What is the unit rate of sugar to flour?
4/9
400
Does the graph represent a proportional relationship? How do you know?
No - there is no consistent k-value, and the graph does not pass through the origin.
400
Is this relationship proportional? If so, what is the k-value? 
Not proportional
400
Does this table represent a proportional relationship? How do you know?
There is not a consistent k-value, and on a graph it will not go through the point (0, 0).
400
A ______________________________ is two equivalent ratios.
proportion
500
Takis cost $3.12 for a 24-oz bag or $5.28 for a 48-oz bag. What is the difference in the unit prices?
$0.02
500
Ms. Castle can run 3 miles in 14 minutes. At this rate, how long would it take her to run 10 miles?
46 minutes and 40 seconds or 46 2/3 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.
3 cups of flour per cup of sugar
500
A ______________________________ between two quantities is one in which the rate of change is constant or one in which the ratio of one quantity to the other is constant.
proportional relationship