Constant Proportionality from Tables
Constant of Proportionality from Graphs
Constant of Proportionality from Words
Constant of Proportionality and Equationsw
COP characteristics
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
Write an equation if the constant of proportionality is 7 (k=7):
y =7x
100
What is k mean in y=kx?
constant of proportionality
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
What is K with proper units?
k = 1.2 miles per hour
200
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
200
Write an equation if the constant of proportionality is 2/3 (k=2/3):
y= 2/3 x
200
when you are looking at a graph the line is proportional if it passes through
the origin
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
To make juice, Michael combines 1/4 liters of water and 2/3 scoops of juice mix. What is the CoP (scoops per liter)?
8/3 or 2 2/3 scoops per liter
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.
k = 4 loaves per cup
300
what is another word for constant of proportionality?
unit rate
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
Zachary's time machine needs 14 megawatts of electricity to travel back 7 years. What is the unit rate (megawatts per year)?
2 megawatts per year
400
The number of milk bottles sold (P) depends on the number of boxes opened (n). If 0.35 milk bottles are sold for each box opened,write an equation to represent this.
P= 0.35n
400
what is the x and y value (x,y) for a point at the origin?
(0,0)
500
Alice bought comics. Find the k (CoP with correct units) if the table shows a proportional relationship.
Number of comics 2 4 6
Price (dollars) 6 12 18
k = 3 dollars per comic
500
Find the constant of proportionality with correct units
60 miles per hour
500
A dog can walk 1 1/2 miles in 3/4 of an hour. How far can the dog walk in an hour?
2 miles
500
In a science lab, scientists are doing chemical reactions. The amount of product (P) depends on the amount of reactant (r). If 0.25 grams of product are made for every gram of reactant, make an equation to represent this.
P= 0.25r
500
what are the three qualifications to tell if a line on a graph is proportional?
it passes through the origin, it is a straight line, and has a constant of proportionality!