Constant of Proportionality from Tables
Constant of Proportionality from Graphs
Constant of Proportionality from Words
Miscellaneous
Equation/misc
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 with correct units
k =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
What is k mean in y=kx?
constant of proportionality
100
A car is traveling at 55 miles per hour. How far does the car travel in 3 hours?
165 miles
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
Find the constant of proportionality with correct units
60 miles per hour
200
To make juice, Michael combines 4 liters of water and 12 scoops of juice mix. What is the CoP (scoops per liter)?
3 scoops per liter
200
When you are looking at a graph, how can you tell if it is proportional?
It is a straight line going through origin.
200
Use the equation to fill in the missing parts of the table
x 1 3 ? 4.5
y 15 ? 60 ?
45, 4, 67.5
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
Find the constant of proportionality with correct units
5 gallons per min
300
There are 100 centimeters in 1 meter. Use x to represent centimeters and y to represent meters and write an equation to represent the proportional relationship.
y = 0.01 x or y = 1/100 x
300
what is another word for constant of proportionality?
unit rate
300
There are 35 calories in one serving of blueberries. How many calories are in 7 servings?
245 calories
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
Find k with proper units.
k = 3 gallons per minute
400
Write an equation that represents the following. Use "x" to represent feet, and "y" to represent inches.
There are 120 inches in 10 feet.
y = 12x
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
16 servings of strawberries is 720 calories. How many servings is 112.5 calories?
Hint: start with the CoP
2.5 servings
500
Alice bought comics. Finish the ratio table and the k (CoP with correct units) if the table shows a proportional relationship.
Number of comics 2 4 ?
Price (dollars) 5 ? 15
6, 10 and k = 2.5 dollars per comic
500
DAILY DOUBLE
What is K with proper units?
DAILY DOUBLE
k = 1.2 miles per hour
500
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
500
Chips ahoy costs 4.56 for a box of 30 cookies. The store brand has a box of 40 cookies for 5.20. Find the cost per cookie for each brand and determine which is the better buy.
Chips ahoy = $0.15 and store brand = 0.13. The store brand is the better buy.
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