Constant Proportionality from Tables
Constant of Proportionality from Graphs
Constant of Proportionality from Words
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?
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
Julie brought 5 pounds of cans to a recycling place and was paid $2. Find the constant of proportionality (cost per pound)
$0.40/pound
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
Fred wrote notes during an exam. Find the CoP (with correct units) if it is a proportional relationship.
Notes (pages) 8 9 10 11
Time (in hours) 18 19 20 21
It is not proportional, there is no CoP.
300
What does the point (7,35) mean?
7 minutes for 35 gallons of water
300
To make juice, Michael combines 4 liters of water and 12 scoops of juice mix. What is the CoP (scoops per liter)?
3 scoops per liter
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. Write your answer AS AN EQUATION!
Number of bikes (x) 10 12 14
Number of trips (y) 5 6 7
y=0.5x
400
Write an equation
y=3x
400
Zachary's time machine needs 14 megawatts of electricity to travel back 7 years. What is the unit rate (megawatts per year)?
2 megawatts per year
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 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
500
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
500
How long would it take the family to travel 600 miles?
10 hours
500
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!!!
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 is the x and y value (x,y) for a point at the origin?
(0,0)