Constant Proportionality from Tables
Constant of Proportionality from Graphs
Constant of Proportionality from Words
Constant of Proportionality and Equations
Create an Equation
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
k =46
100
Morgan bought 24 batteries packed in 6 equal packs. Find the number of batteries in one pack (batteries per pack)?
4 batteries per pack
100
Find the constant of proportionality: y = 7x
What is 7?
100
A player in a survival game can craft 6 wooden fences in 15 minutes. Write an equation that represents the total time in minutes (t) required to craft a specific number of fences (f).
t = 2.5f
or
f = 0.4t
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 the unit rate?
1.2
200
If 12 eggs cost $3.84, then what is the cost of one egg?
$0.32
200
Find the constant of proportionality: C = (2/3)m
What is 2/3?
200
A gold mine in a strategy game produces 120 gold coins every 8 minutes.Write an equation that represents the amount of gold (G) produced over a number of minutes (m).
G = 15m
or
m = 0.067G
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
A car travels 225 miles in 3 hours? What is the unit rate in miles per hour?
75 mph
300
What is the constant of proportionality in the following equation?
y = 4x
The constant of proportionality is 4
300
A commercial oven can bake 36 cupcakes every 45 minutes. Write an equation that represents the amount of time in minutes (t) it takes to bake a specific number of cupcakes (c).
C = 0.8t
or
t = 1.25C
400
A ferry transports bikes to an island. What is the CoP?
Number of bikes (x) 10 12 14
Number of trips (y) 5 6 7
CoP = 0.5
400
What is the constant of proportionality?
CoP = 3
400
If 7 necklaces cost $84, how much would it be for 15 necklaces?
$180
400
Which equation shows a proportional relationship?
a) y = 2 + x
b) y = 2x
c) y = 2x + 5
d) y = 2x - 5
b) y = 2x
400
In a science experiment, a heating element increases the temperature of a solution by 12°C every 3 minutes.Write an equation that represents the total change in temperature (T) after a number of minutes (m)
T = 4m
or
m = 0.25T
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
12 sodas cost $6.84. How much would it cost for 18 sodas?
$10.26
500
What is the equation for the following?
A car travels 325 miles in 5 hours at a constant speed.
y = 65x
500
A cargo ship travels at a constant speed, covering 18 nautical miles every 45 minutes. Write an equation that represents the total distance (D) in nautical miles the ship travels over a period of (h) hours.
k = 18/45= 0.4
0.4 nautical miles PER MINUTE
1hr= 60 minutes, 0.4 x 60 = 24
24 nautical miles PER HOUR
D = 24h