Constant of Proportionality In Words
Constant of Proportionality Equations
Tables and Graphs
Unit Rates
More Graphs
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
Does this table represent a proportional relationship?
The relationship is proportional because if we divide each cost per number of tickets, we see the constant of proportionality is $1.50 per ticket.
100
Every 2.5 hours, a machine produces
2250 basketballs. What is the unit rate of this proportional relationship?
900 basketballs per hour
100
The point on the graph shows Tyler's arrival at the bumper cars from a ticket booth. What do the coordinates of the point tell us about the situation?
40 seconds after Tyler started walking, he was 50 meters from the ticket booth. The 40 represents the elapsed time in seconds since Tyler started walking away from the ticket booth; the 50 represents Tyler's distance in meters from the ticket booth at that time.
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 relationship?
No, because when we divide the sales of ice cream by each Temperature, we do not get a constant value.
200
What is the formula for constant proportionality?
K = y/x
200
What does the point (0,0) mean in this situation
Before any time passed, there was no distance between Tyler and the ticket booth.
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 = 135x represents her earnings.Determine how much money she makes if she works 40 hours.
Maxine earns $5,400 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
A skydiver falls 144 feet in three seconds. How far does the skydiver fall per second?
48
300
How far away from the ticket booth was Tyler after 1 second?
Tyler was 1.25 meters from the ticket booth after 1 second.
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 = 55x 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 247. 5 miles at the speed limit.
Francis drove for 4.5 hours.
400
What is the constant of proportionality of this graph?
m = 1/6
400
A pump moves 42 gallons in seven minutes. Find the unit rate.
6 gallons per minute
400
Write an equation that represents the proportional relationship.
y = 1.5x
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
If Jackson ate hamburgers at a rate of 3.5 hamburgers per minute and Jacen ate hamburgers at a rate of 4.7 hamburgers per minute, write an equation that could represent how many more hamburgers Jacen can eat more than Jackson.
y = 1.2x
500
Does this graph represent a proportional relationship?
No.
500
One bag of pretzels costs three dollars. Five bags of pretzels costs $10. Which has the lower unit price?
Five bags for $10
500
The two lines represent the distance, over time, that two cars are traveling. Which car is traveling faster? 
Car B