General
Equations of Proportional Relationships
Identifying Proportional Relationships
Proportional Relationships RANDOM
100
What is an independent variable
The variable that changes and affects the dependent variable
100
Is this equation proportional? y= 3x
If so what is the constant of proportionality? (k)
PROPORTIONAL
k = 3
100
True or False?
To find the constant of proportionality, you divide the “x” by the “y”
FALSE
100
How do you find the constant of proportionality?
y/x
200
What is a dependent variable?
The variable that depends on the independent variable
200
Is the relationship between how much it snows in New York City and how many buses there are in New York City proportional?
Not proportional
200
Is the graph a proportional relationship? Why?
NO
Does not go through the origin
200
(3,4) (6,12)
Are the two points part of the same proportional relationship?
NO
300
It takes a person 10 minutes to walk 1 mile. What is the independent and dependent variable in this situation?
Independent: time walked
Dependent: Distance
300
What does k represent in y=kx?
the constant of proportionality
300
5:10 is a ratio in a proportional relationship. What is the constant of proportionality?
k = 2
300
Given the table is proportional. Solve for K
K = 13
400
A tomato plant needs sunlight to grow. In this scenario what are the independent and dependent variables?
Independent: Sunlight
Dependent: How tall the plant grows
400
If the constant of proportionality is 1/4, what is the equation of the proportional relationship
y = 1/4x
400
Is the table proportional?
Yes, it is proportional
400
(4, 28) (9, 63)
Are these two points part of the same proportional relationship?
YES
500
A waiter makes $20 an hour. How much money will they make is 3 hours?
$60
500
Kim tries to bike 15 miles (y) every 3 days (x)
What is the constant of proportionality and equation for the relationship?
k = 5
y = 5x
500
8:4 is a ratio in a proportional relationship. What is the constant of proportionality?
k=1/2
500
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
600
What letter represents the constant of proportionality?
k
600
Using this graph, What is the equation?
y = 20x
600
Is the table proportional?
No, the table is not proportional
600
A teacher creates 3 questions every 5 minutes. Keeping a constant rate, how long would it take to create a game with 24 questions?
40 minutes