Constant Proportionality from Tables
Constant of Proportionality from Graphs
Constant of Proportionality from Words
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 and what does it mean?

46 miles per hour

100

A restaurant sells x number of small pizzas for $12 each.  What is the equation to represent the relationship 0between pizzas and price ( y=kx)?

y=12x

100

What is 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 isthe constant of proportionality and what does it mean?

1.2 miles per hour

200

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

$0.40/pound

200

When you are looking at a graph, how can you tell if it is proportional?

A straight line through the origin

300

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

300

How would you write the constant of proportionality as an ordered pair?

( 1 , 5 )

300

To make juice, Michael combines 4 liters of water and 12 scoops of juice mix. How many scoops does Michael need with 9 liters of water?

27 scoops

300
what is the x and y value (x,y) for a point at the origin?

(0,0)

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

What does point (2 , 6) on the graph?

 

6 gallons of water in 2 mins

400

Zachary's time machine needs 14 megawatts of electricity to travel back 7 years.  How many megawatts does Zachary need to travel back 15 years?

 30 megawatts

400

How do you find k (Constant of Proportionality)?

 y/x 

y divide by x

BONUS: What else can this be called?

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