Constant of Proportionality In Words
Constant of Proportionality Equations
Tables and Graphs
Random
100
Jude sends 45 E-mails in 15 minutes.
How many E-mails did he send per minute?
DOUBLE
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 or variable? Explain.
The relationship is constant because 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 rate of change for this table constant or variable? Explain.
The rate of change is variable because when we divide the sales of ice cream by each Temperature, we do not get a constant value.
200
40 ounces for $6.50 how much for one ounce?
$0.16
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.
DOUBLE
1. It is a straight line
2. It passes through the origin
300
A car travels 36 miles in 45 minutes. At this rate how many miles can the train travel in 1 hour?
DOUBLE
48 miles
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 change (k)?
k = y/ x
k = 1/6
400
what does it mean to be proportional?
when a relationship between two ratios has the same constant ratio/ 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
constant of proportionality is represented by the letter k. What is the equation for k?
k = y / x
500
what is a constant of proportionality? Which variable represents the constant of proportionality?
the constant ratio or unit rate of two variables