Constant Proportionality from Tables
Constant of Proportionality from Graphs
Scale Factor
Complex Fractions
COP requirements
100
Drew paints portraits. Find the constant of proportionality if it is a proportional relationship
Time (in hours) = x Number of portraits = y
1 5
2 10
3 15
4 20
5 portraits per hour
100
Find the constant of proportionality with correct units
k =46 miles per hour
100
Another word for Scale Factor is __________.
Unit Rate
100
Hannah completed 1/5 of a worksheet in 1/4 of an hour.
What is her rate in worksheet per hour?
4/5 worksheet per hour
100
What does k mean in y=kx?
constant of proportionality
200
The table shows the amount earned by Harry for selling ice cream. Find k.
Cups Sold = x 3 5 7 9
Earnings ($) = y 12 20 28 36
CoP = 4
200
What is K with proper units?
k = 1.2 miles per hour
200
On a map, 2 cm represents 100 miles. The actual distance between two towns is 385 miles. What is the distance between the towns on the map?
7.7 cm
200
Tyler can rake 1/3 of a yard in 1/5 of an hour.
What is his rate in yards per hour?
1 2/3 OR 1.67 yards in one hour
200
Which one is PROPORTIONAL?
A) 3/4x = y
B) y= 4x - 7
A) 3/4x = y
300
Fred wrote notes during an exam. Find the CoP (with correct units) if it is a proportional relationship.
Notes (pages) 8 9 10 11
Time (in hours) 18 19 20 21
It is not proportional, there is no CoP.
300
Find the constant of proportionality with correct units
5 gallons per min
300
In a photograph, Dr. J stands next to Mrs. Handler. Dr. J is 5 cm tall in the photograph. His actual height 6.5 feet. Mrs. Handler is 4.2 cm tall in the photograph. What is Mrs. Handler's actual height in feet?
Mrs. Handler is 5.46 feet tall!
300
Angie painted 1/20 of a fence in 1/2 an hour.
What is her speed of painting a fence per hour?
1/10 of the fence in one hour
300
what is another word for constant of proportionality?
unit rate
400
A ferry transports bikes to an island. Write k (which is the CoP).
Number of bikes (x) 10 12 14
Number of trips (y) 5 6 7
k = 0.5
400
Find k with proper units.
k = 3 gallons per minute
400
Amber is making a scale drawing of a movie screen. The scale from the actual to the drawing is 5 feet to 1 inch. The actual dimensions of a movie screen in her local Harkins is 60 ft wide and 20 ft tall. What are the dimensions of the drawing?
12 in wide and 4 in tall
400
It took Mrs. Deaton 3/4 of an hour to complete 1/4 of a puzzle.
How many puzzles can she complete in one hour?
1/3 of a puzzle per hour
400
what are the two qualifications to tell if a line on a graph is proportional?
it passes through the origin and it is a straight line
500
Alice bought comics. Find the k (CoP with correct units) if the table shows a proportional relationship.
Number of comics 2 4 6
Price (dollars) 6 12 18
k = 3 dollars per comic
500
Find the constant of proportionality with correct units
60 miles per hour
500
Mrs. Almanza is building a rectangular pool in her backyard. The pool company makes a scale drawing of her new pool. The scale from the actual to the drawing is 8 ft to 1 inch. The dimensions of the drawing are 4.5 in by 3 in. What are the dimensions of Mrs. Almanza's actual new pool?
36 ft by 24 ft
500
Mrs. Lewis' kids ate 7/8 of their Halloween candy in 4 and 3/4 days.
What is their rate of candy per day?
7/38 of their candy in one day
500
Which point on a graph gives the unit rate, or COP, in any graph of a proportional relationship?
(1,y)