Dependent and Independent Math Variable

On a graph, which axis shows the independent variable?

• x-axis

• y-axis

• neither

• it changes

Daisy is training for a marathon.  The amount of time spent running depends on how far she runs.  Which statement is true

• The dependent variable is the amount of time spent running, the independent variable is the miles run. 

• The dependent variable is miles run, the independent variable is the time spent running.

• The independent variable is her running shoes and the dependent variable is the flavor of gatorade she drinks

• The dependent variable is the weather and the independent variable is the time of day. 

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 distance Sarah walks
The following equation can be used to find the amount of money she will raise. 
m=75d
Which of the variables is dependent?

• m

• d

• 75

• Sarah

Samantha 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
The number of treats she will bring can be found using the equation 
t=3s+5
Which of the variables is independent?

• s

• t

• 3

• 5

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 amount of money Dalton earns
Which of the variables is dependent?

• h

• m

The graph shows the distance traveled by a family on a road trip .  They will travel 25 miles each hour. Which statement is true about the situation?

• the independent variable is distance

• the independent variable is d=25 t

• the dependent variable is time

• the dependent variable is distance

The graph shows the cost of mailing a package based on its weight.  Which statement is true about the situation?

• 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

Priya streams movies through a company that charges her a $5 monthly fee plus $1.50 per movie.  Her monthly movie cost can be found using the equation C=5+1.5m where C is the money it costs and m is the number of movies she rents. What is the dependent variable?

• the number of movies she rents

• the company that she rents from

• the money it costs

• There isn't one

Will practices at a batting cage.  The table shows the total cost based on the number of tokens purchased.  Which of the following is the independent variable in this situation?

• number of tokens

• total cost

• {1, 2, 3, 4}

• {7, 10, 13, 16}

The volume of a sphere is given by the formula V=4πr³, where V is the volume and r is the radius.  What is the dependent variable in this situation?

• V

• 4

• r

• π