Constant of Proportionality In Words
Constant of Proportionality Equations
Tables and Graphs
General
Comparing Proportional Relationships
100
Jude sends 45 E-mails in 15 minutes.
How many E-mails did he send per minute?
He sent 3 E-mails per minute.
100
Navelle earns $12 per hour. Write an equation that represents Navelle's earnings.
y = 12x
100
What is the constant of proportionality of this table?
K= 3/2
200
Lenasia earned $640 in a 40-hour work week.
What is Lenasia's hourly rate of pay?
Lenasia earns $16 per hour.
200
Gianna reads 27 pages in 9 minutes. At What rate does Gianna read?
Write an equation for this relationship.
Gianna reads 3 pages per minute.
y = 3x
200
Does this table represent a proportional or Non-Proportional relationship?
Non-Proportional
200
What is the equation for a proportional relationship?
y= kx
300
A helicopter propeller spins 2400 revolutions in 4 minutes. What is the constant of proportionality (k), in revolutions per minute?
The constant of proportionality is k = 600 RPM.
300
Maxine works at law office. the equation y = 20x represents her earnings.Determine how much money she makes if she works 40 hours.
Maxine earns $800 in 40 hours.
300
A graph represents a proportional relationship if:
1.
2.
1. It is a straight line
2. It passes through the origin
300
What is the constant of proportionality in the equation
y=3x
k = 3
300
Which line has the largest constant of proportionality?
Line a
400
Jeff earned $400 working a 40-hour work week.
Find Jeff's hourly wage and use it to predict how much he will make if he works for 47 hours.
Jeff makes $10 per hour and would make $470 IN 47 hours.
400
The equation y = 25x represents the rate of the Long Island highway speed limit, in miles per hour. Let x represent the number of hours driven and y represent the total miles driven.
How long was Francis driving if he drove 225 miles at the speed limit.
Francis drove for 9 hours.
400
What is the constant of proportionality for the graph?
k = 1/6
400
Every 3 hours, a machine produces
1800 basketballs. What is the rate of this proportional relationship?
600 basketballs per hour
400
Which has the smaller constant of proportionality? Explain.
The graph?
or the word problem: Jesse completed 10 laps in 18 minutes. How many laps did he run in 1 minute?
Word Problem
500
Janine sells 16 apples for $8.00. What is the unit price for each apple?
How much would she earn if she sold 64 apples?
The unit price is $0.50 per apple.
Janine would earn $24 for selling 64 apples.
500
Tyler types 72 words in 6 minutes.
Write an equation to represent how many words he types in one minute.
y = 12x
500
Does this graph represent a proportional or non-proportional relationship?
Non-Proportional
500
Does this equation represent a proportional relationship?
y = 3x + 2
No
500
Which relationship has the bigger constant of proportionality? The table or the graph. 
Table