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
Find the constant of proportionality and what does it mean?
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
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. How much did her earn per cup?
Cups Sold = x 3 5 7 9
Earnings ($) = y 12 20 28 36
$4 per cup
200
What isthe constant of proportionality and what does it mean?
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
Find the constant of proportionality:
C = 2/3 m
k = 2/3
200
How do you find k (Constant of Proportionality)?
y/x
y divide by x
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
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
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 relationship equation?
y=13x
300
what is another word for constant of proportionality?
unit rate
400
A ferry transports bikes to an island. What is the constant of proportionality? Include units.
Number of trips (x) 10 12 14
Number of hours (y) 5 6 7
k = 0.5 hours per trip
400
What does point (2 , 6) on the graph?
6 gallons of water in 2 mins
400
Zachary's time machine needs 14 megawatts of electricity to travel back 7 years. How many megawatts does Zachary 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
When you are looking at a table, how can you tell if it shows a proportional relationship?
The constant of proportionality (y/x) is the same for all ratios in the table.
500
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
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 is used to make 39 pizzas.
130 cups of cheese
500
When you are looking at a graph, how can you tell if it is proportional?
A straight line through the origin