Constant of Proportionality from Tables
Constant of Proportionality from Graphs
Constant of Proportionality from Words
Constant of Proportionality and Equations
Ratio Tables
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

Jenny bought 24 batteries packed in 6 equal packs. What is the unit rate per pack?

4 batteries per pack

100

What is k mean in y=kx?

constant of proportionality

100

Nikisha is driving at a speed of 60 miles per hour. How far will he go in 5 hours?

300 miles

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

Find the constant of proportionality with correct units

60 miles per hour

200

To make juice, Henry combines 4 liters of water and 12 scoops of juice mix. What is the CoP (scoops per liter)?

3 scoops per liter

200

Find the constant of proportionality:

C = 2/3 m

k = 2/3

200

Xhoanna is driving at a speed of 60 miles per hour. How many hours did she drive if she went 270 miles?

4.5 hours

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

Padraic's time machine needs 14 megawatts of electricity to travel back 7 years.  What is the unit rate (megawatts per year)?

 2 megawatts per year

300

Are 12/20 and 3/10 proportional?

No they are not.

300

7 servings of strawberries is 315 calories. How many calories is 1 serving? 2 servings? 3 servings?

1 serving is 45 calories

2 servings is 90 calories

3 servings is 135 calories

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

Write an equation to convert feet to inches. There are 12 inches in 1 foot. Use "x" to represent feet, and "y" to represent inches.

Hint: y = ? x

y = 12x

400

Solve for x. x/2 = 9/6


What is 3?

400

7 servings of strawberries is 315 calories. How many servings is 180 calories? 630 calories?

180 calories is 4 servings

630 is 14 servings

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)                   5            10            15           


k = 2.5 dollars per comic

500

DAILY DOUBLE

What is K with proper units?

DAILY DOUBLE

k = 1.2 miles per hour

500

Violet brought 5 pounds of cans to a recycling place and was paid $2. Find the constant of proportionality (cost per pound)

$0.40/pound

500

Write an equation that represents the following scenario. Use "d" to represent distance, and "t" to represent time.

Mitchell rides his bike at a speed of 3.5 miles per hour.

d = 3.5t

500

Sadie texts 60 words in 4 minutes, then she texts 45 words in how many minutes?

What is 3 minutes?