Constant Proportionality from Tables
Constant of Proportionality from Graphs
Constant of Proportionality from Words
Constant of Proportionality and Equations
100
Drew paints portraits. Find the constant of proportionality if it is a proportional relationship (with correct units!)
Number of portraits = x Time (in hours) = y
1 5
2 10
3 15
4 20
5 portraits per hour
100
Find the constant of proportionality with correct units
5 gallons per min
100
Morgan bought 24 batteries packed in 6 equal packs. Joshua bought 28 batteries packed in 7 packs, which are the same as Morgan bought. Find the number of batteries in one pack?
4 batteries per pack
100
Find the constant of proportionality: y = 7x
What is 7?
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
k = 4
200
Find k.
k = 3
200
Michael worked 40 hours in a week and made $860 How much did Michael earn per hour?
$21.50 per hour
200
The equation y = 4x shows the number of breads baked based on the amount of flour used. Where Y is the number of bread loaves made and X is the cups of flour used. Find the constant of proportionality.
What is 4
300
Fred wrote notes during an exam. Find k (with correct units) if it is a proportional relationship.
Notes (pages) 11 9 10
Time (in hours) 23 18 20
It is not proportional, there is no k.
300
Find the constant of proportionality with correct units
60 miles per hour
300
Last month, Julie brought 5 pounds of cans into the shop and was paid $2. Find the constant of proportionality.
$0.40/pound
300
The number of milk bottles sold can be determined by the equation Y = 0.35x, where Y is the number of bottles of milk and x is the number of boxes opened. Find the constant of proportionality with correct units.
What is 0.35 bottles per box?
400
A ferry transports bikes to an island. Write k.
Number of bikes (x) 10 12 14
Number of trips (y) 5 6 7
k = 0.5
400
What is K?
k = 1.2
400
Shoprite sells a 6 oz bag of popcorn for $3.96. Costco sells a 10 oz bag for $6.50. What is the better buy?
Costco
400
In a laboratory, scientists performed chemical reactions. The amount of product formed by a reaction can be determined by y = 0.25x, where x is the product and y is the amount of reactants used. Find k
0.25
500
Alice bought comics. Find the k (with correct units) if the table shows a proportional relationship.
Number of comics 2 4 6
Price (dollars) 6 12 16
It is not proportional, there is no k.
500
Find the constant of proportionality with correct units
k =46
500
If 5 pounds of beef cost $29, how much would would 8 pounds of beef cost?
$46.40
500
Find the constant of proportionality: y = (2/3)x
What is 2/3?