Constant Proportionality from Tables
Constant of Proportionality from Graphs
Unit Rates & Better Buy
Complex Fractions
COP requirements
100
Drew paints portraits. Find the constant of proportionality if it is a proportional relationship
Time (in hours) = x Number of portraits = y
1 5
2 10
3 15
4 20
5 portraits per hour
100
Find the constant of proportionality with correct units
k =46 miles per hour
100
Morgan bought 24 batteries packed in 6 equal packs. What is the unit rate per pack?
4 batteries per pack
100
Hannah completed 1/5 of a worksheet in 1/4 of an hour.
What is her rate of worksheet she will complete in one hour?
4/5 worksheet per hour
100
What is k mean in y=kx?
k is the Constant of Proportionality
200
The table shows the amount earned by Harry for selling ice cream. Find k.
Cups Sold = x 3 5 7 9
Earnings ($) = y 12 20 28 36
CoP = 4
200
What is K with proper units?
k = 1.2 miles per hour
200
Which store had the better buy?
Target sells a 32 oz of shampoo for $8. Walmart sells a 24 oz of shampoo for $7. Which store has the better deal for shampoo?
Target: .25 cents per oz
Walmart: .29 cents per oz
Target has the better deal on shampoo!
200
Tyler can rake 1/3 of a yard in 1/5 of an hour.
How many yards can he rake in one hour?
1 2/3 OR 1.67 yards
200
when you are looking at a graph the line is proportional if it passes through
the origin
300
Alice bought comics. Find the k (CoP with correct units) if the table shows a proportional relationship. WRITE AS AN EQUATION!
Number of comics 2 4 6
Price (dollars) 6 12 18
y=3x
300
Find the constant of proportionality and write as an equation. 
y=5x
300
Sarah can eat 3.75 hamburgers in one hour. At this rate, how many hamburgers can she eat in 6 hours?
22.5 hamburgers!! Dang!!!
300
Angie painted 1/20 of a fence in 1/2 an hour.
How much of the fence can be painted in one hour?
1/10 of the fence in one hour
300
what is another word for constant of proportionality?
unit rate
400
A ferry transports bikes to an island. Find k (which is the CoP) and WRITE YOUR ANSWER AS AN EQUATION!
Number of bikes (x) 10 12 14
Number of trips (y) 5 6 7
y=0.5x
400
What does the point (4,12) mean?
4 minutes for 12 gallons of water.
400
Costco sells 5 pounds of canned food for $2. Sam's Club sells 7 pounds of canned food for $3. Which store has the cheaper price per pound of cans?
Costco: $0.40/pound
Sam's Club: $0.43/pound
Costco was 3 cents cheaper per pound of cans!
400
It took Jamie 3/4 of an hour to complete 1/4 of a puzzle.
How many puzzles can she complete in one hour?
1/3 of a puzzle
400
what is the x and y value (x,y) for a point at the origin?
(0,0)
500
Fred wrote notes during an exam. Find the CoP and write as an equation if it is a proportional relationship.
Notes (x pages) 8 9 10 11
Time (y hours) 18 19 20 21
It is not proportional, there is no CoP.
500
How many hours would it take to drive 600 miles?
C.O.P. = 60 miles per hour
600 miles/60 mph = 10 hours
500
Bosa Donuts sells 1/2 dozen donuts for $7.99 and a dozen donuts for $15.89. Which is the better buy for price per donut?
1/2 Dozen: $1.33 per donut
Dozen: $1.32 per donut
Dozen donuts is the better buy!
500
Mrs. Lewis' kids ate 7/8 of their Halloween candy in 4 and 3/4 days.
How much of their candy did they eat in one day?
7/38 of their candy
500
what are the two qualifications to tell if a line on a graph is proportional?
it passes through the origin and it is a straight line