Constant of Proportionality In Words
Tables and Graphs
Constant of Proportionality Equations
Rate of Change (k)
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
Is the rate of change for this table constant? Yes or no?
The relationship is constant because the rate of change is $1.50 per ticket for EVERY one.
100
Navelle earns $12 per hour. Write an equation that represents Navelle's earnings.
y = 12x
100
Every 2.5 hours, a machine produces
2250 basketballs. What is the rate of change 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
A graph represents a proportional relationship if:
1.
2.
1. It is a straight line
2. It passes through the origin
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
What is the equation for a proportional relationship?
y = kx
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
Is the rate of change for this table constant? Yes or no?
No, the rate of change is NOT constant because THE RATE OF CHANGE IS DIFFERENT!
300
Maxine works at law office. the equation y = 135x represents her earnings. How much money does she make per hour?
Maxine earns $135 per/each hour.
300
Which graph has the greatest rate of change?
Line a
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
What is the rate of change (scale factor) of this graph?
k = y/x so k = 1/6
400
Challenge: The equation y = 55x represents the rate of the Chicago highway speed limit, in miles per hour. X is the number of hours driven and y is the total miles driven.
How many hours was Francis driving if he drove 110 miles.
Francis drove for 2 hours.
400
What is the equation to find the rate of change (k)?
k = y/x
500
Janine sells 16 apples for $8.00. What is the rate of change for each apple?
How much would she earn if she sold 64 apples?
The rate of change is $0.50 per apple.
Janine would earn $32 for selling 64 apples.
500
What is the equation (has an equal sign = ) for finding the scale factor (k)?
k = y/x
500
Challenge: If Jackson ate hamburgers at a rate of 3.5 hamburgers per minute and Jason ate 4.7 hamburgers per minute, write an equation that represents how many more hamburgers Jason ate than Jackson.
y = 1.2x
500
What is another word for "per"? (multiple answers)
Each, every, a/an