Constant of Proportionality In Words
Constant of Proportionality Equations
Tables and Graphs
Circles
100
Lenasia earned $640 in a 40-hour work week.
What is Lenasia's hourly rate of pay?
Lenasia earns $16 per hour.
100
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
100
Is this relationship proportional? Why not?
It is not proportional because there is no constant of proportionality.
100
A circle has a diameter of 22 inches. What is the radius?
11 inches
200
Jude sends 45 E-mails in 15 minutes.
How many E-mails did he send per minute?
He sent 3 E-mails per minute.
200
Navelle earns $12 per hour. Write an equation that represents Navelle's earnings.
y = 12x
200
Is this relationship proportional? Explain your reasoning.
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.
200
A circle has a diameter of 5 cm and a circumference of 15.7 cm. What is the constant of proportionality between circumference an diameter?
3.14 or pi
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 circle has a diameter of 6 feet. What is its circumference?
18.84 feet
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 in this graph?
CoP = 2 miles
400
A circle has a radius of 7 feet. What is its circumference?
43.96 feet
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
What does the point (12,2) mean in this situation?
It means that 12 pounds on Earth is 2 pound son the moon.
500
A circle has a circumference of 56.52 inches. What is it's radius?
9 inches