Definitions
Proportional Relationship
Constant of Proportionality
Equations
Miscellaneous
100
The number you see over and over again in a proportional relationship
Constant of Proportionality
100
Elena went to a store where you can scoop your own popcorn and buy as much as you want. She bought
10 ounces of spicy popcorn for $2.50.
1. How much does popcorn cost per ounce?
2. How much popcorn can you buy per dollar?
25 cents
4 ounces
100
What is the c of p?
2 10
3 15
4 20
5
100
Is this an equation?
y=kx
Yes
100
Who is Mr. Currin's favorite student?
Everybody
200
These letters are on the left and right side of a proportional table
X and Y
200
At a grocery store, the price of watermelon is determined by how many pounds the watermelon weighs. The price of a watermelon that weighs 7.3 pounds is $4.38.
Create an equation that can be used to determine the price, p, in dollars, of any watermelon based on the number of pounds, w, the watermelon weighs.
p=0.60w
200
The cost of tickets to a school band concert is shown in the table.
Which equation models the cost of the tickets?
A
c = 5.25t
B
c = 15.75t
C
c = 10.50t
D
c = 26.25t
A. c= 5.25t
200
Is this an equation?
y=x/1/2
No
200
How many students are in this class?
25
300
This is used when simplifying fractions. (i.e. 3/6)
Common Factor
300
No and there would be no equation
300
Find the constant of proportionality when it pertains to the formula y/x
X Y
45 9
75 15
60 12
85 17
C of P is 1/5 or 0.2
300
Is the equation correct?
y=45x
Yes
300
What is the name of this unit?
Introducing Proportional Relationships
400
This term is for proportional relationships in regards to y/x
Formula
400
y=x/9
y=9x
400
Based on a website, Ellen knows that 5 slices of pizza have 1,900 calories.
If she eats 2 slices of pizza, how many calories does she eat?
760 calories
400
Mai is filling her fish tank. Water flows into the tank at a constant rate. Complete the table as you answer
the questions.
1. How many gallons of water will be in the fish
tank after 3 minutes? Explain your reasoning.
2. How long will it take to fill the tank with 40
gallons of water? Explain your reasoning.
3. What is the constant of proportionality?
time (minutes) water (gallons)
0.5 0.8
1
3
40
25 minutes
400
Who has the jwet?
None other than Mr. Currin
500
This equation is used to solve for constant of proportionality.
y=kx or y=x/k
500
The cost of tickets to a school dance is shown in the table below.
Number of tickets (t) Cost (c)
2 $14.50
6 $43.50
Which equation models the cost of the tickets? (Think C of P)
c=14.50t
c=7.25t
c=43.50t
c=55t
B. c=7.25t
500
Based on a website, Ellen knows that 5 slices of pizza have 1,900 calories.
If she only eats 190 calories of pizza, how much pizza does she eat?
1/2
500
Write an equation for the previous question.
w=1.6t
500
Where did Mr. Currin move from?
Arkansas