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.
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 (or unit rate)
46 miles per hour
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
What is the constant of proportionality: y = 7x
7
200
The table shows the amount earned by Harry for selling ice cream. Find the constant of proportionality (or unit rate).
Cups Sold = x 3 5 7 9
Earnings ($) = y 12 20 28 36
$4 per cup
200
What is the constant or proportionality (or unit rate)?
1.2 miles per hour
200
To help the environment and make some extra money, Julie takes her empty cans to the Cash Not Trash recycling shop. The shop pays cash based on the total weight of the cans Julie brings in for recycling. There is a proportional relationship between the weight (in pounds) of the cans Julie brings into the shop, x, and the amount (in dollars) the shop pays Julie, y.
Last month, Julie brought 5 pounds of cans into the shop and was paid $2. Find the constant of proportionality (or unit rate).
$0.40 per pound
200
What is the constant of proportionality: C = 2/3m
2/3
300
Fred wrote notes during an exam. Find the constant of proportionality (or unit rate) if it is a proportional relationship.
Notes (pages) 8 9 10 11
Time (in hours) 16 18 20 23
It is not proportional because 23/11 does not = 2 like the other ratios.
300
What is the constant or proportionality (or unit rate)?
5 gallons per minute
300
Michael's class is having a holiday party, and he is in charge of bringing juice. He decides to bring powdered juice mix and add water to it at school. There is a proportional relationship between the volume of water Michael uses to make the juice (in liters), x, and the number of scoops of juice mix he uses, y.
To make the juice, Michael combines 4 liters of water and 12 scoops of juice mix. What is constant or proportionality (or unit rate)?
3 scoops per liter
300
Daisy made bread. The equation B = 4f shows the number of breads baked based on the amount of flour used.
B is the number of bread loaves made and f is the cups of flour used. What is the constant of proportionality (or unit rate)?
4 loaves per cup
400
A ferry transports bikes to an island. Find the constant of proportionality (or unit rate) if it is proportional.
Number of trips (x) 2 6 7
Number of bikes (y) 10 12 14
2 bikes per trip
400
Find the constant or proportionality (or unit rate)?
3 gallons per minute
400
In a flash of sheer brilliance, Zachary invents a time machine! The machine uses a small nuclear reactor to generate the electricity it needs to travel back in time. There is a proportional relationship between how many years Zachary wants to travel back in time, x, and how much electricity (in megawatts) his time machine needs, y.
Zachary's time machine needs 14 megawatts of electricity to travel back 7 years. What is constant or proportionality (or unit rate)?
2 megawatts per year
400
The number of milk bottles sold can be determined by the equation P = 0.35n
P is the number of bottles of milk and n is the number of boxes opened. Find the constant of proportionality (or unit rate).
0.35 bottles per box
500
Alice bought comics. Find the constant of proportionality (or unit rate) if the table shows a proportional relationship.
Number of comics 2 4 6
Price (dollars) 6 12 16
It is not proportional because 16/6 does not equal 3 like the other ratios.
500
Find the constant or proportionality (or unit rate)?
60 miles per hour
500
Susan measures the length of some items in feet but needs to convert them all to inches. She looks up each measurement in feet online to find the correct number of inches. There is a proportional relationship between the number of feet, x, and the number of inches, y.
An item that is 4 feet long is 48 inches long. What is constant or proportionality (or unit rate)?
12 inches per foot
500
In a laboratory, scientists performed chemical reactions. The amount of product formed by a reaction can be determined by P = 0.25r
P is the product and r is the amount of reactants used. What is the constant or proportionality (or unit rate)?
0.25 product per reactant