Constant Proportionality from Tables
Constant of Proportionality from Graphs
Constant of Proportionality from Words
Constant of Proportionality and Equations
K requirements
100
Drew paints portraits. Find the constant of proportionality (k) 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
Find the constant of proportionality: y = 7x
k = 7
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
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
Find the constant of proportionality:
C = 2/3 m
k = 2/3
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 constant of proportionality (k) IF it is a proportional relationship.
Notes (pages) 8 9 10
Time (in hours) 18 19 20
It is not proportional. There is no Constant of Proportionality
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, slope, m, k, rise and run
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 or 1/2
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 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.
k = 0.35 bottles per box
400
what are the two qualifications to tell if a line on a graph is proportional?
it passes through the origin (0,0) and it is a straight line
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 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.
k = 0.25 product per reactant
500
what is the x and y value (x,y) for a point at the origin?
(0,0)