Constant of Proportionality In Words
Constant of Proportionality Equations
Tables and Graphs
Independent/Responding Variables
Vocabulary
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 proportional?
yes
100
X is the __________ variable and Y is the ___________ variable
X is the independent variable and Y is the responding (dependent) variable
100
Define Unit Rate
The amount per one unit of you independent variable.
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 this relationship proportional? Explain.
No, they do not all have the same unit rate.
200
Gianna reads at 3 pages per minute. Which is the responding variable?
number of pages read
200
Define Independent Variable
The variable that is changed, and not measured. The variable that is not affected.
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
Is this relationship proportional?
Yes
300
A car is travelling at 85 miles per hour. Which is the independent variable?
Hours passed
300
Define Responding Variable
The variable that is measured.
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
A graph represents a proportional relationship if:
1.
2.
1. It is a straight line
2. That passes through the origin
400
Janine sells 16 apples for $8. Which is the responding variable?
Dollars made
400
What does the point (1, r) represent on a graph?
The unit rate
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 is the Unit Rate of this graph? 
5
500
The Mythbusters found out that you get more wet if you run in the rain, rather than walk. What was the independent variable in their experiment?
Speed they walked through the rain (running or walking)
500
What is the difference between Unit Rate and Constant of Proportionality?
Unit rate is the constant for one row of data, K is the constant for an entire table.