Dependent and Independent Variables - Definition & Examples
Read this topicExplanations 4
- Roughly speaking, independent variables represent function inputs, while dependent variables represent function outputs. The value of a dependent variable depends on what the in…
By Zora Gilbert, Alex Federspiel, Victor Wang, Sarah Walker, Anusha Rahman
- Types of Variables In math, a variable is a symbol (usually a letter) we use to represent a number whose value we don't know yet. Two important types of variables in all types o…
By Hannah Bonville, Zora Gilbert, Alex Federspiel, Sarah Walker, Anusha Rahman
- Examples: Identifying Dependent and Independent Variables Variables are values that are not known yet, or values that are subject to change. We typically deal with two kinds of …
By Christine, Alex Federspiel, Sarah Walker, Anusha Rahman
- (Video) Dependent vs Independent Variables (Simplifying Math) by Eric Buffington The video above explains how you can tell the difference between dependent and independent varia…
By Amy Feraco, Alex Federspiel
Problems 25
- NASA just finished making a rocket to Mars. The way it launches out of our atmosphere is by using more fuel the longer it is in the air. If we want to write a function for how m…
- A pool is being filled with water from a hose that gives out a certain number of liters per minute. If we write a function of the volume of water in the pool, what are the indep…
- The number of bananas eaten off a banana tree directly relates to the number of monkeys in the tree. If we write a function of how many bananas are eaten, what are the independe…
- In the function rule h(t)=3t2+2t+1h(t)=3t^2+2t+1h(t)=3t2+2t+1, what are the independent and dependent variables? Check all that apply.
- True or False\text{True or False}True or False === xxx is always the independent variable.
- Is s=−t2+1s=-t^2+1s=−t2+1 a function of ttt? If so, identify the dependent variable in the function.
- Is y=x2y=x^2y=x2 a function of xxx? If so, identify the independent variable in the function.
- Is y=x+42−5569y=\frac{x+42-55}{69}y=69x+42−55 a function of xxx? If so, identify the dependent variable in the function.
- A teacher is handing out candy to her classroom. The amount of candy she brings in is based on the number of students in her class. What is the independent variable?
- The equation y=x2−5z+3y=x^2-5z+3y=x2−5z+3 expresses yyy as a function of xxx and zzz. What is the dependent variable?
- A dependent variable is a variable in an expression whose value is determined by the choice of 0000‾\underline{\phantom{0000}}0000.
- Consider the following table. Identify the independent and dependent variables in order from top to bottom.
- A tree grows 10" every year. Write a function relating the age, aaa, of the tree and the height, hhh, of the tree. What variable would the age of the tree represent? Using this …
- Fill in the blank of the statement concerning this function: "The value of yyy depends on what is 0000‾\underline{\phantom{0000}}0000 xxx."
- Assume two tectonic plates move 101010 cm apart per year (represented by the graph above). Consider the point (2,20)(2, 20)(2,20). Identify the values of the independent and dep…
- When graphing a relationship between two variables, the dependent variable goes on the 0000‾\underline{\phantom{0000}}0000 axis, and the independent variable goes on the 0000‾\…
- Constants 0000‾\underline{\phantom{0000}}0000, while variables 0000‾\underline{\phantom{0000}}0000.
- You cannot get the 0000‾\underline{\phantom{0000}}0000 without knowing the 0000‾\underline{\phantom{0000}}0000.
- Which of the concepts below best matches the following definition? "____: A mathematical relationship in which the values of a dependent variable are uniquely determined by the …
- Cara built a snowman yesterday that was 4 feet tall. Today, the temperature rose 15 degrees, causing the snowman to melt at a constant rate of 2 inches per hour. How much of the…
- If you see the equations "f(x)=x2f(x) = x^2f(x)=x2" and "y=f(x)y = f(x)y=f(x)" written, what can you conclude? Select all that apply.
- From the equation 2x−y=12x - y = 12x−y=1, can xxx be written as a function of yyy?
- Let the amount of twitching a person does, ttt, after drinking cups of coffee, ccc, be given by t=f(c)t=f(c)t=f(c). What is the independent variable in this function?
- Let the amount of twitching a person does, ttt, after drinking cups of coffee, ccc, be given by t=f(c)t=f(c)t=f(c). What is the dependent variable in this function?
- Greg is selling grilled cheese for a fundraiser. It costs about a dollar to make each grilled cheese. Greg sells each grilled cheese at 3.53.53.5. Let's say Greg sold some amoun…