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 Miss Crosby.  Dr. J is 5 cm tall in the photograph.  His actual height is 6.5 feet. Miss Crosby is 4.2 cm tall in the photograph.  What is Miss Crosby's actual height in feet?

Miss Crosby 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)