Constant Proportionality from Tables
Constant of Proportionality from Graphs
Constant of Proportionality from Words
Constant of Proportionality and Equations
COP requirements
100
Shah 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 and what does it mean?
46 miles per hour
100
Omari 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 Amari for selling ice cream. Find k.
Cups Sold = x 3 5 7 9
Earnings ($) = y 12 20 28 36
COP = 4
200
What is the constant of proportionality and what does it mean?
1.2 miles per hour
200
Tina 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:
36y = 8x
k = 2/9 or 0.888...
200
When you are looking at a graph, how can you tell if it is proportional?
A straight line through the origin
300
Jayden 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
How would you write the constant of proportionality as an ordered pair?
( 1 , 5 )
300
To make juice, De'Michael combines 4 liters of water and 12 scoops of juice mix. How many scoops does De'Michael need with 9 liters of water?
27 scoops
300
Liyah earns $39 for 3 hours of babysitting. There is a proportional relationship between the number of hours Liyah babysits, x, and the total amount of money she earns, y. What is the proportional relationship equation?
y=13x
300
what is another word for constant of proportionality?
unit rate
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
What does point (2 , 6) mean on the graph?
6 gallons of water in 2 mins
400
Jamarion's time machine needs 14 megawatts of electricity to travel back 7 years. How many megawatts does Jamarion need to travel back 15 years?
30 megawatts
400
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
400
How do you find k (Constant of Proportionality)?
y/x
y divide by x
500
Hannah bought comics. Find the missing values in the table below.
Number of comics 2 ? 12
Price (dollars) 6 24 ?
Number of comics for $24 is 8; price for 12 comics $36
500
What does point (4 , 240) mean?
The family travels 240 miles in 4 hours
500
Jasmine bought 32 kiwi fruit for $16 Tuesday and 8 kiwi fruit for $4 Friday. How much does Jasmine need to buy 54 kiwi fruit?
$27
500
In a pizza shop, the number of pizzas prepared can be determined by the equation P=0.30c. Where P is the number of pizzas and c is the number of cups of cheese used. Use the equation to find how many cups of cheese are used to make 39 pizzas.
130 cups of cheese
500
Describe what this graph will look like: y = 4x
Give at least 3 different types of detail.
Straight line, passing through origin, point located at (1, 4)