Independent and Dependent Variable

The length of a rectangle is 3 more than twice the width of the rectangle. The table below shows dimensions of a rectangle with this relationship. What is the dependent quantity in this relationship?

• length of the rectangle

• Width of the rectangle

• perimeter of the rectangle

• area of the rectangle

On a map, 1 centimeter represents 25 miles. The graph below shows this relationship.

What is the independent quantity shown on the graph?

• F The distance you are traveling

• G The number of miles

• H The number of centimeters

• J Not here

What is the dependent quantity in this relationship?

• Number of people drinking coffee

• Cups of brewed coffee

• Number of tablespoons of coffee grounds

• Amount of water used

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

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

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

Kira designs websites. She can create three different websites each week. Kira wants to create an equation that will give her the total number of websites she can design given the number of weeks she works.

What is the independent variable?

• the number of websites she makes

• the number of weeks

• the design of the website

• there isn't one

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

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

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