Math

6th Grade Math- Independent variable and dependent variable

 Independent Variable Definition

An independent variable is a variable that represents a quantity that is being manipulated in an experiment. x is often the variable used to represent the independent variable in an equation.

Dependent Variable Definition

The dependent variable is the one that depends on the value of some other number. If, say, y = x+3, then the value y can have depends on what the value of x is. Another way to put it is the dependent variable is the output value and the independent variable is the input value.

Multiple Choice

Steve wanted to see if the type of fertilizer made sunflowers grow larger. What is the dependent variable

• Type of fertilizer

• Size of sunflower

• Type of sunflower

Multiple Choice

Steve wanted to see if the type of fertilizer made sunflowers grow larger. What is the independent variable

• Type of fertilizer

• Size of sunflower

• type of sun flower

Multiple Choice

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

• m: money

• h: hours

Multiple Choice

Emma gets one sticker for every paper she completes.

s = stickers earned

p = papers completed

The independent variable is:

• s = stickers earned

• p = papers completed

Multiple Choice

Jimmy earned $8 for every pizza he delivers.

m = money (dollars)

p = number of pizzas delivered

The dependent variable is:

• m = money

• p = number of pizzas delivered

Multiple Choice

The x- axis is the ___________________ number line in the coordinate plane.

• Vertical

• Diagonal

• Horizontal

• origin

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

Grace is bringing treats to her Algebra 1 class on her birthday. The number of treats she brings is based on the number of students in her class.

Which of the variables is independent?

• number of students

• number of treats

Multiple Choice

Priya streams movies through a company that charges her a $5 monthly fee plus $1.50 per movie What is the dependent variable?

• the number of movies she rents

• the company that she rents from

• the total money it costs

• There isn't one

Multiple Choice

In the United States House of Representatives, the number of Representatives from a state is calculated based on its population.

r = the total number of Representatives

p = the population of a state

Which of the variables is independent?

• r

• p

Multiple Choice

In order to earn extra spending money, Dalton babysits children after school. The greater the number of hours he babysits, the more money he earns.

h = the number of hours Dalton babysits

m = the total amount of money Dalton earns

Which of the variables is dependent?

• h

• m

Multiple Choice

In order to earn extra money on the weekends, Josie's string quartet performs at wedding receptions. The longer the reception, the more money they earn.

r = the length of the reception

m = the total amount of money Josie's quartet earns

Which of the variables is independent?

• r

• m

Multiple Choice

Sarah is participating in a walkathon to raise money for local literacy programs. The amount of money Sarah will raise depends on the distance she walks.

m = the amount of money Sarah will raise

d = the total distance Sarah walks

Which of the variables is dependent?

• m

• d

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 total 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 total number of treats

s = the number of students

Which of the variables is independent?

• s

• t

Multiple Choice

Paco's daughter will be participating in an upcoming dance recital. She will require a different costume for each dance she plans to performs.

c = the total number of costumes Paco's daughter will require

d = the number of dances Paco's daughter plans to perform

Which of the variables is independent?

• c

• d