Representing Proportional Relationships

Representing Proportional Relationships

Independent Vs. Dependent Variables

• The independent DETERMINES the dependent.

• The dependent DEPENDS on the independent.

Multiple Choice

What is the dependent variable in the relationship between how many problems you miss on a test and your overall test grade?

• number of problems missed
• overall grade

Multiple Choice

A food service worker earns $12 per hour. How much money, m, does the worker earn on a shift of h hours? Identify the dependent variable.

• money
• hours

Multiple Choice

Carey and Justin are raising money to purchase books for their school's library. The more money they raise, the more books they will be able to purchase for the library.

m = the amount of money Carey and Justin raise

b = the number of books Carey and Justin will be able to purchase

Which of the variables is dependent?

• m

• b

Multiple Choice

Sarah is bringing treats to her elementary school class on her birthday. The number of treats she brings in is based on the number of students in her class.
t = the number of treats
s = the number of students
Which of the variables is independent?

• s
• t

Constant of Proportionality (k) = Dependent (y) / Independent (x)

Multiple Choice

Identify the constant of proportionality.

• k = 2

• k = 3

• k = 1.50

• k = 2/3

• none (not proportional)

Fill in the Blanks

Fill in the Blanks

Graphing Proportional Relationships

- The Independent variables goes on the x-axis.

- The dependent variables goes on the y-axis.

Multiple Choice

On a graph, which axis shows the independent variable?

• x-axis

• y-axis

• neither

• it changes

Multiple Choice

On a graph, which axis shows the dependent variable?

• x-axis

• y-axis

• neither

• it changes

Multiple Choice

Which is correct?

• The dependent variable is total cost
• The dependent variable is weight
• The independent variable is total cost
• The independent variable is cost of a package

Multiple Choice

Which is correct?

• the independent variable is distance
• the dependent variable is distance

Multiple Choice

Identify the constant of proportionality.

• k = 5

• k = 1/5

• k = 1

• k = 2.5

• none (not proportional)

Multiple Choice

Write an equation that represents the relationship between the weight(x) and the cost(y).

• y = 1/2 x

• y = 1/4 x

• y = 2x

• y = 4x

Multiple Choice

What does k represent in the equation

y = kx?

• distribute

• kangaroos

• constant of proportionality

• karate

Multiple Choice

How can you find k?

• $k\ =\ \frac{x}{y}$

• $k=\frac{y}{x}$

• $k=xy$

Multiple Choice

Identify the constant of proportionality.

• k = 2x

• k = 2

• k = 4

• none (not proportional)