Constant of Proportionality In Words
Constant of Proportionality Equations
Tables and Graphs
Unit Rates/Slope
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 rate of change for this table constant? Yes or no?
The relationship is constant because if we divide each cost per number of tickets, we see the constant of proportionality (COP) is $1.50 per ticket.
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
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 rate of change for this table constant? Yes or no?
The rate of change is not constant because when we divide the sales of ice cream by each temperature, we do not get a constant value.
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
Maxine works at law office. the equation y = 135x represents her earnings. Determine how much money she makes after 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
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
Challenge: The equation y = 55x represents the rate of the Chicago 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 110 miles at the speed limit.
Francis drove for 2 hours.
400
What is the rate of change (scale factor) of this graph?
k = 1/6
400
We use the word "per" when we find the ___ __ ____.
Rate of change
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 $24 for selling 64 apples.
500
Challenge: If Jackson ate hamburgers at a rate of 3.5 hamburgers per minute and Jason 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 equation (has an equal sign = ) for finding the scale factor (k)?
k = y/x
500
What is another word for "per"? (multiple answers)
Each, every, a/an