Constant of Proportionality
Writing Equations
Proportional or Not
Complete the Table
MISC
100
What is the formula used to find the constant of proportionality?
k = y divided x
100
What is the template for a proportional relationship equations?
Y = K times X
100
How can you tell if a table is proportional?
All of the x and y pairs have the same constant of proportionality.
100
What is the Constant of Proportionality?
y/x
100
15/r = 12/16
What does r equal?
r = 20
200
Given the table is proportional. Solve for K
K = 13
200
Using this graph, What is the equation?
y=20x
200
Is the graph a proportional relationship? Why?
NO
Does not go through the origin
200
Equation:
y = 2x
x: 0, 1, 2, 3
What are the y coordinates?
y: 0, 2, 4, 6
200
Who is the 7th grade counselor?
Ms. Rezentes
300
Is this graph proportional?
YES
300
Write an equation for the table below
x: 0, 1, 2, 3, 4, 5
y: 0, 1, 2, 3, 4, 5
y = x
300
what are 3 ways to tell if a graph is proportional
(Need to get all 3 for full points)
if the line is straight
goes through the origin
If the constant is the same
300
Is the table proportional?
Yes it is proportional
300
Every Sunday, Natalie and her cousins get together for brunch. This week, Natalie is in charge of making fresh-squeezed orange juice. There is a proportional relationship between the number of oranges Natalie squeezes, x, and the amount of juice (in ounces) she makes, y.
After squeezing 2 oranges, Natalie has 6 ounces of juice. Write the equation for the relationship between x and
y.
y = 3x
400
It takes Bart 10 minutes to finish writing "I will not talk in school" 30 times. How long would it take him to "I will not talk in school" 90 times
.
30 minutes
400
Write an equation for the graph below. 
y = 1/6 * x
400
A recipe for chocolate chip muffins call for 4 cups of flour to 1 cup of chocolate chips. Which of the following shows a proportional ratio for the recipe?
a.8 cups of flour to 2 cups of chocolate chips
b. 3 cups of flour to 1 cup of chocolate chips,
c. 1 cup of flour for 1 cup of blueberries.
A,
100 extra points if you can tell the unit rate
400
Equation:
y = 4/5x
X Coordinates: 0, 5, 20, 50
What are the Y Coordinates?
Y Coordinates: 0, 5, 16, 40
400
Every Sunday, Natalie and her cousins get together for brunch. This week, Natalie is in charge of making fresh-squeezed orange juice. There is a proportional relationship between the number of oranges Natalie squeezes, x, and the amount of juice (in ounces) she makes, y. The equation that models this relationship is
y = 3x.
How much juice does Natalie make by squeezing 3 oranges? Write your answer as a whole number or decimal.
9
500
How do you find the constant of proportionality from an equation?
The number next to x.
500
The profit a hot dog vendor earned, in dollars, is proportional to the number of hot dogs sold. This equation represents the proportional relationship between the profit earned (p) and number of hot dogs (h) sold.
Enter the profit, in dollars, earned for each hot dog sold.
$2 per hotdog
500
Is the table proportional?
No
500
Equation:
y = 0.4x
x coordinates: 0, 0.25, 0.5, 0.75
y coordinates: 0, 0.1, 0.2, 0.3
500
Name 3 clubs/sports at AIS?
ETC.