Constant of Proportionality In Words
Constant of Proportionality Equations
Tables and Graphs
Unit Rates and the Constant of Proportionality
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 the table proportional? 
Yes. 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
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 table proportional?
No.When we divide the sales of ice cream by each Temperature, we do not get a constant value.
200
What is the unit rate of words per minute if Trevor types 144 words in 3 minutes?
48 words per minute.
300
A helicopter propeller spins 2400 revolutions in 4 minutes. What is the constant of proportionality (k), in revolutions per minute?
La hélice de un helicóptero gira 2400 revoluciones en 4 minutos. ¿Cuál es la constante de proporcionalidad (k), en revoluciones por minuto?
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 point (0,0)
300
What is a the constant of proportionality, k, of a line that passes through (0,0) and goes through point (3, 9)?
k = 3
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 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, K, of this graph?
K = 1/6
400
Find the constant of proportionality of a line that passes through the points (4, 2) and (12, 6).
k = 1/2
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 and write an equation that could represent how many hamburgers Jackson ate per hour.
y = 3.5x
500
What is the constant of proportionality, k, of a line with points (2,12) and (5, 30)?
k=6
500
Which line has a constant of proportionality, k, of 2?
Line m