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
Find the constant of proportionality and what does it mean?
46 miles per hour
A restaurant sells x number of small pizzas for $12 each. What is the equation to represent the relationship 0between pizzas and price ( y=kx)?
y=12x
What is k mean in y=kx?
constant of proportionality
The table shows the amount earned by Harry for selling ice cream. Find k.
Cups Sold = x 3 5 7 9
Earnings ($) = y 12 20 28 36
CoP = 4
What isthe constant of proportionality and what does it mean?
1.2 miles per hour
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
When you are looking at a graph, how can you tell if it is proportional?
A straight line through the origin
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
How would you write the constant of proportionality as an ordered pair?
( 1 , 5 )
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
(0,0)
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
What does point (2 , 6) on the graph?
6 gallons of water in 2 mins
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
How do you find k (Constant of Proportionality)?
y/x
y divide by x
BONUS: What else can this be called?