Unit Rates & Ratios
Identifying Proportional Relationships
Equations of Proportional Relationships
Graphing Proportional Relationships
Solve
Application
100
4 lbs of almonds cost $19.80. How much does 1 lb cost?
$4.95
100
Are these ratios proportional? 
Yes
100
Is this equation proportional? y= 3x
If so what is the constant of proportionality? (K)
Yes
k=3
100
What is the name of the coordinate point (0,0)?
Origin
100
What formula is used to find the Constant of Proportionalty?
y/x
100
The equation F = (9/5)C +32 relates temperature measured in degrees Celsius, C, to degrees Fahrenheit, F.
Determine whether there is a proportional relationship between C and F. Explain or show your reasoning.
The relationship between degrees Celsius and degrees Fahrenheit is NOT proportional.
200
A recipe calls for 3/4 cup of sugar for every 1/8 cup of butter. How much cups of sugar would you need for EACH cup of butter?
6 cups of sugar
200
Is the graph a proportional relationship? Why?
NO
Does not go through the origin
200
Does the follow equation demonstrate a proportional equation? y = 3x +4
Not proportional
200
A relationship between 2 quantities such that as one value increases or decreases, the other value will increase or decrease by the same rate.
Proportional
200
What is the Constant of Proportionality in this equation?
y= 2x
2
200
An 18 oz package of rice costs $6.30. How much does it cost PER ounce?
$0.35
300
Hadley paddled a canoe 2/3 miles in 1/4 hour. How fast did Hadley paddle in miles PER hour?
2 2/3 (or 8/3) miles per hour
300
Is the table proportional?
No
300
Is this equation proportional? If so what is the constant of proportionality? (K=)
y= ¾ x
proportional
k= 3/4
300
What are 2 ways to tell if a graph is proportional
- If the line is straight
- The line goes through the origin
300
Given the table is proportional. Solve for K
K = 13
300
Andre rode his bike at a constant speed. He rode 1 mile in 5 minutes.
Write an equation that represents the amount of time, x, (in minutes) that it takes him to ride a distance of miles, y.
y = 5x
400
A box of cereal states that there are 90 calories in a 3/4 cup serving. How many calories are in 4 cups of cereal?
480 calories
400
Is the table proportional?
Yes it is proportional
400
Using this graph, What is the equation? 
y= 1/6x
400
Is this graph proportional?
YES
400
y=6/2x
What is this constant of proportionality? SIMPLIFY!!
3
400
A taxi charges you $25.20 for a 36-mile ride. How much would the same taxi driver charge you if the ride was 47 miles?
$32.90
500
Cremini mushrooms cost $12.50 for 2/3 lb. How much would 5 lbs cost?
$93.75
500
a) yes
500
Write an equation for the table given the table is proportional.
Y= 3/2 x
500
What is the Constant of Proportionality?
5
500
8, 16
500
8.75 hours