Constant of Proportionality
Solving Proportions
Is it Proportional?
Unit Rates
Write an Equation
Random
100
Find the constant when y = 18 and x = 9.
18/9 or 2
100
400 strikes
100
no
100
Find the unit rate
12 muffins per cup
1 muffin for 1/12 of a cup
100
Suppose that the number of bushels (b) of wheat that a farm yields varies directly with the size of the farm in acres (a), and that the constant of proportionality is 22.
- Write an equation to represent the relationship between the size of the farm and the number of bushels of wheat the farm yields.
b = 22*a
100
On his last math test, Brandon completed 12 problems in 50 minutes.
Write unit rates for this situation as minutes per problem.
50/12 or 25/6
200
Find the constant when y = 84 and x = 16
84/16 or 5 1/4
200
2.5/3=15/n
n = 18
200
yes
200
Find the unit rate/constant
200/8 = 25
200
32 fluid ounces of juice will fill 8 glasses. The number of fluid ounces varies directly with the number of glasses.
Determine the constant of proportionality for glasses to the fluid ounces and write an equation to find glasses when given the fluid ounces.
k = 8/32 = 1/4
g = 1/4 * f
200
Is the relationship proportional?
yes
300
In the school orchestra, there are 5 woodwind instrument players for every 2 brass instrument players.
What is the constant of proportionality for brass players to woodwind players?
2/5
300
5/6=x/12
x = 10
300
yes
300
Determine the unit rate of math problems solved per minute.
8/20 = 2/5 prob. per min.
300
Your brother paid $9 for 7 pounds of pitted cherries at a bulk grocery store.
What is the constant of proportionality of the number of dollars spent to the number of pounds of cherries purchased.
Write a proportion that shows the relationship between the two quantities (using the variables provided in the table) and the constant of proportionality.
k=9/7=1.28
d=9/7 *c
300
The number of trees (n) that the average American uses in paper products varies directly with the time (t) in years. Assume that the constant of proportionality is 7.
How many trees does the average American use in 6 years?
n= 7*6 = 42
400
Find the constant of proportionality.
k = 50/10 or 5
400
3.03 or 3
400
yes
400
What is the unit rate/constant for cm per hour?
500/4 = 20
400
Jamie is an event photographer. In her brochure she advertises that for every 7 posed pictures she takes of your event she will take 4 un-posed pictures.
What is the constant of proportionality of the number of un-posed pictures to the number of posed pictures.
Write a proportion that shows the relationship between the two quantities (using the variables provided in the table) and the constant of proportionality.
k=4/7
p=4/7*u
400
The number of trees (n) that the average American uses in paper products varies directly with the time (t) in years. Assume that the constant of proportionality is 7.
- Write an equation to represent the proportional relationship between n and t using the information given.
n = 7t
500
The table shows the number of math problems Valerie solves over time. The two quantities vary directly.
Determine the constant of proportionality for number of math problems solved per minute.
8/20 or 2/5
500
25.5 pizzas
500
no
500
What is the unit rate of fish per gallon AND gallons per fish
3/2 fish inches per gallon
2/3 gallons per fish inches
500
Olivia is studying to become a geologist. For every 5 hours of classroom instruction she receives on earth processes, she also receives 8 hours of lab.
Find the constant of proportionality of the number of classroom hours to the number of lab hours.
Write a proportion that shows the relationship between the two quantities (using the variables provided in the table) and the constant of proportionality.
k=5/8
c=5/8*l
500
The New Jersey Division of Fish and Wildlife keeps track of the beaver population in the Raritan River. They tagged 42 beavers and released them. A week later, they captured 54 beavers, including 14 tagged beavers. What is a good estimate of the beaver population in the Raritan River?
