Constant of Proportionality In Words
Constant of Proportionality Equations
Tables and Graphs
Unit Rates
Mrs. Hall Trivia
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
Where does Mrs. Hall's husband teach?
Workman Elementary
200
Lena earned $640 in a 40-hour work week.
What is Lena's hourly rate of pay?
Lena 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
How do you find the constant of proportionality?
K = y/x
200
TRUE/FALSE: Mrs. Hall has 2 pets.
False
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 feet per second
300
TRUE/FALSE: Mrs. Hall went skydiving when she was younger.
True
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 speed limit of the I-94 highway in Detroit, in miles per hour. Let x represent the number of hours driven and y represent the total miles driven.
How long was Mrs. Hall driving if she drove 247. 5 miles at the speed limit?
Mrs. Hall drove 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
What are the names of Mrs. Hall's two daughters?
Charley and Joey
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 $32 for selling 64 apples.
500
If Jackson ate hamburgers at a rate of 3.5 hamburgers per minute. Write two equations to show how many hamburgers he can eat per minute and how many minutes it takes him to eat one hamburger.
y = 3.5x and x = 2/7y
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
Where did Mrs. Hall graduate from college?
Western Michigan University