Constant Proportionality from Tables
Constant of Proportionality from Graphs
Constant of Proportionality from Words
Constant of Proportionality and Equations
Test Quest
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
k =46
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?
100
Sara used 2.5 cups of cheese in a dish that serves 10 people. How many cups per person are in her dish?
.25
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
What is K?
k = 1.2
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 with correct units.
$0.40/pound
200
Find the constant of proportionality: C = (2/3)m
What is 2/3?
200
A garden hose fills a 2-gallon bucket in 5 seconds. The number of gallons, y, is proportional to the number of seconds, x. Write an equation that represents the relationship between y and x.
y = kx
2 = k5
300
Fred wrote notes during an exam. Find k (with correct units) if it is a proportional relationship.
Notes (pages) 8 9 10 11
Time (in hours) 16 18 20 23
It is not proportional, there is no k.
300
Find the constant of proportionality with correct units
5 gallons per min
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 k?
k = 3
300
Daisy made bread. The equation B = 4f shows the number of breads basked based on the amount of flour used. Where B is the number of bread loaves made and f is the cups of flour used. Find the constant of proportionality.
What is 4 loaves/cup?
300
Henry is making corn grits and the recipe calls for 1/4 cup of grits for every 1/2 cup of water. How much water will he need if he uses 1.5 cups of grits?
3
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
Find k.
k = 3
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. Write the k for this problem.
k = 2
400
The number of milk bottles sold can be determined by the equation P = 0.35n, where P is the number of bottles of milk and n is the number of boxes opened. Find the constant of proportionality with correct units.
What is 0.35 bottles per box?
400
At 9 Bar Joshua bought 2 cookies for $1.60. Jack bought 1/2 dozen cookies for $4.50. Who got the better deal?
Jack
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
60 miles per hour
500
A scale drawing of a car has a scale of 1 inch to 1/2 a foot. The actual length of the care is 15 feet. What is the length of the drawing?
30
500
In a laboratory, scientists performed chemical reactions. The amount of product formed by a reaction can be determined by P = 0.25r, where P is the product and r is the amount of reactants used. Find k with correct units.
What is 0.25 product per reactant?
500
A graphic designer is creating an advertisement for a tablet. She needs to enlarge the picture given here so that 0.25 inches on the scale picture will correspond to 1 inch on the actual advertisement. What will be the height of the actual advertisement if the scale picture is 3 inches?
12 inches