Constant of Proportionality In Words
Constant of Proportionality Equations
Tables and Graphs
Unit Rates
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
Is this relationship between tickets and cost proportional?
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
What does the point (3,2) represent on this graph?
2 laps are completed in 3 minutes
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
Is the relationship between temperature and ice cream sales proportional in this table? Explain.
The relationship is not proportional because when we divide the sales of ice cream by each Temperature, we do not get a constant of proportionality.
200
A deer travels 30 miles in 2 hours. What is the unit rate of miles traveled per hour?
The deer travels 15 miles per hour.
200
Explain if the graph represents a proportional relationship.
?
Yes because it is a straight line that goes through the origin.
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
15 bracelets sold for $30. What is the unit price per bracelet?
Each bracelet cost $2
300
What is the Constant of Proportionality?
The C.O.P. is 1.25.
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.
What is the c.o.p. of the relationship between miles and hours?
the c.o.p is 55
400
What does the point (12,2) represent on this graph?
12 pounds on earth is 2 pounds on the moon.
400
A cat walks at a pace of 1/2 in 1/3 of an hour. How far did the walk cat after one hour?
2.5 miles.
400
What is the C.O.P?
The C.O.P. is 2/3.
(2/3 laps are completed in 2 minutes)
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
Jackson ate hamburgers at a rate of 3.5 hamburgers per minute. Write an equation to represent this proportional relationship.
y = 3.5x
or
h = 3.5m
500
Does this graph represent a proportional relationship? Explain
The graph does not represent a proportional relationship because it does not cross the origin.
500
Peter can bake 15 cookies every 1/2 hour. How many cookies can he bake in 3 hours?
90 cookies
500
Is the relationship represented in the graph proportional or not proportional?
Not proportional, because it doesn't cross the origin.