Constant of Proportionality In Words
Constant of Proportionality Equations
Tables
Graphs
Random
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
Will earns $12 per hour. Write an equation that represents Will's earnings.
y = 12x
100
Does this table represent a proportional relationship?
Yes K=1.5
100
Name the elements of a proportional graph
straight line, through the origin
100
The proportional relationship equation
y = kx
200
Jacob earned $640 in a 40-hour work week.
What is Jacob's hourly rate of pay?
Jacob earns $16 per hour.
200
Gianna reads 27 pages in 9 minutes.
Write an equation for this relationship.
Gianna reads 3 pages per minute.
y = 3x
200
Does this table represent a proportional relationship?
No, because when we divide the sales of ice cream by each Temperature, we do not get a constant value.
200
What does the point (0,0) mean in this situation
The person has not yet left and time has not yet started.
200
What is the formula for constant proportionality?
K = y/x
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.
300
Maxwell works at law office. The equation y = 135x represents he earnings.Determine how much money he makes if he works 40 hours.
Maxwell earns $5,400 in 40 hours.
300
Find the K of the table
k = 3/4 or 0.75
300
What is the constant of this graph?
k=1/6
300
The point (0,0) is the ___________
origin
400
Jane earned $400 working a 40-hour work week.
How much did Jane earn after working 47 hours?
Jane would make $470 IN 47 hours.
400
The equation y = 55x represents the rate of the Mass Pike's speed limit, in miles per hour. Let x represent the number of hours driven and y represent the total miles driven.
How long was Ben driving if he drove 247. 5 miles at the speed limit.
Ben drove for 4.5 hours.
400
Fill in the missing values from the table (in red):
24
7
400
Write an equation that represents the proportional relationship.
y = 1.5x
400
The y is the __________ variable on a graph or table.
dependent variable
500
Janine sells 18 apples for $5.40. What is the unit price for each apple?
How much would she earn if she sold 64 apples?
The unit price is $0.30 per apple.
Janine would earn $19.20 for selling 64 apples.
500
If Jackson ate 3 hamburgers in 9.6 minutes and Graham ate 4 hamburgers in 18.8 minutes. Write an equation for each Jackson and Graham.
Jackson: y = 3.5x
Graham: y=4.7x
500
Which table has the higher constant?
2nd One
500
Which car is traveling faster?
Car A
500
What does the the coordinate point (1,k) means on a graph?
Constant or the unit rate