Constant Proportionality from Tables
Constant of Proportionality from Graphs
Constant of Proportionality from Words
Constant of Proportionality and Equations
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 and what does it mean?
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
200
The table shows the amount earned by Harry for selling ice cream. Find k and explain what it means.
Cups Sold = x 3 5 7 9
Earnings ($) = y 12 20 28 36
CoP = 4
200
What is the equation for this relationship?
y=1.2x
200
Julie brought 1/3 pounds of cans to a recycling place and was paid $22. Find the constant of proportionality (cost per pound)?
$66 per pound
200
Explain if this equation is proportional:
y = 8 + x
No -- you can't have addition or subtraction signs.
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
How would you write the constant of proportionality as an ordered pair?
( 1 , 5 )
300
To make juice, Michael combines 4 liters of water and 12 scoops of juice mix. How many scoops does Michael need with 9 liters of water?
27 scoops
300
Lia earns $39 for 3 hours of babysitting. There is a proportional relationship between the number of hours lia babysits, x, and the total amount of money she earns, y. What is the proportional relationsip equation?
y=13x
400
A ferry transports bikes to an island. Write the equation.
Number of bikes (x) 10 12 14
Number of trips (y) 5 6 7
y=0.5x
400
Zachary's time machine needs 14 megawatts of electricity to travel back 7 years. How many megawatts does Zachary need to travel back 15 years?
30 megawatts
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
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
Abigail says this is non proportional because it does not have all the dots labeled. Do you agree or didsagree?
Disagree -- the graph is straight and through the origin.
500
Jasmine bought 32 kiwi fruit for $16 Tuesday and 8 kiwi fruit for $3.50 Friday. Is this a proportional relationship? Explain your reasoning.
This is non proportional because the kiwi does not always cost the same amount.