Constant Proportionality from Tables
Constant of Proportionality from Graphs
Constant of Proportionality from Words
Constant of Proportionality and Equations
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
Is the following graph proportional?
Yes!
100
Morgan bought 24 batteries packed in 6 equal packs. What is the unit rate per pack?
4 batteries per pack
100
Find the constant of proportionality: y = 7x
k = 7
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 does point (2 , 6) mean on the graph?
6 gallons of water in 2 mins
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
Find the constant of proportionality:
C = 2/3 m
k = 2/3
200
When you are looking at a graph, how can you tell if it is proportional?
A straight line through the origin
300
Alice bought comics. Find the k (CoP with correct units) if the table shows a proportional relationship.
Number of comics 2 4 6
Price (dollars) 6 12 18
k = 3 dollars per comic
300
How would you write the constant of proportionality as an ordered pair?
( 1 , 5 )
300
To make juice, Michael combines 4 liters of water and 12 scoops of juice mix. How many scoops does Michael need with 9 liters of water?
27 scoops
300
What is the reciprocal of 2/3?
(extra 100 points for decimal form)
3/2 or 1.5
300
what is another word for constant of proportionality?
unit rate or slope
400
A ferry transports bikes to an island. Write k (which is the CoP).
Number of bikes (x) 10 12 14
Number of trips (y) 5 6 7
k = 0.5
400
How many miles does the family travel in 9 hours?
540 miles
400
Lia earns $39 for 3 hours of babysitting. There is a proportional relationship between the number of hours Lia babysits, x, and the total amount of money she earns, y. What is the proportional relationsip equation?
y=13x
400
See slideshow.
y = 12x
400
How do you find k (Constant of Proportionality)?
y/x
y divide by x
500
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.
500
What isthe constant of proportionality and what does it mean?
1.2 miles per hour
500
William has a farm of hens. The number of eggs laid by the hens can be determined by the equation E=3h, where E is the number of eggs and h is the number of hens. Use the equation to find how many eggs can 27 hens lay.
81 eggs
500
See slideshow.
y = x
500
what is the x and y value (x,y) for a point at the origin?
(0,0)