Constant Proportionality from Tables
Constant of Proportionality from Graphs
Constant of Proportionality from Words
Rates
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
a 9 pack of burrito's is $4.69, what is the unit price per burrito rounded to the nearest cent?
$0.52
200
The table shows the amount earned by Harry for selling ice cream. Find k.
Cups Sold = x 3 5 7 9
Earnings ($) = y 12 20 28 36
CoP = 4
200
What 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
A 7-pound bag of oranges costs $3.72. What is the unit price, rounded to the nearest cent?
$0.53
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
A 2-pound bag of birdseed costs $3.69. What is the unit price, rounded to the nearest cent?
$1.85
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) 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
A 2-kilogram bag of onions costs $4.37. What is the unit price, rounded to the nearest cent?
$2.19
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
A 7-pack of key chains costs $15.30. What is the unit price, rounded to the nearest cent?
$2.19