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Operations and Algebraic Thinking 218-221
Course: Operations and Algebraic Thinking 218-221 > Unit 5
Lesson 8: Dependent and independent variablesDependent and independent variables review
CCSS.Math:
Identify dependent and independent variables and apply them to contexts.
Independent variable
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.
Example:
You are doing chores to earn your allowance. For each chore you do, you earn dollar sign, 3.
What is the independent variable?
The independent variable is the amount of chores you do because this is the variable you have control over.
Dependent variables
A dependent variable represents a quantity whose value depends on how the independent variable is manipulated.
y is often the variable used to represent the dependent variable in an equation.
Example:
Let's use the same context.
You are doing chores to earn your allowance. For each chore you do, you earn dollar sign, 3.
What is the dependent variable?
The dependent variable is the amount of money you earn because the amount of money you earn depends on how many chores you do.
Want to learn more about independent and dependent variables? Check out this video.
Want to join the conversation?
- What is dependent variable of c=40n+180(20 votes)
- It depends, lets use an example to explain this.
Let's say c is the number of miles you've driven in a vehicle,
And let's say n is the amount of fuel your vehicle uses in milliliters(ml).
So the independent variable is n,
and the dependent variable is c,
since the amount of fuel used depends on the distance you've traveled in miles.
now if u want to do some math's...
the equation given is c=40n+180
so to solve for c we have to input any value for n
example:
n=1, c=(40*1)+180 c=220
n=2, c=(40*2)+180 c=260
to solve for n...
rearrange the equation...
c=40n+180
-180(from both sides)
now... c-180=40n
/40(both sides)
...(c/40)+(180/40)=n
input values for c into the new equation
c=1, n=(1/40)+(180/40) n=0.025+4.5 n=4.525
c=2, n=(2/40)+(180/40) n=0.05+4.5 n=4.55(12 votes)
- too much knowledge to fit in my brain(6 votes)
- why does The dependent variable is the amount of money you spend on the cookies.(4 votes)
- Because the amount of money you spend depends on the amount of boxes you buy.(2 votes)
- I get both of them confused. How do I tell the differences of Dependent and Independent variables?(4 votes)
- This is a bit confusing but i will try to understand it(4 votes)
- identify the variable being described by following measurement 25m,5m/s,87min,11mi,67 m/s2,8.9s, 3.2km/hr,4.5mi/hr2,2 hr, 5.3km help me plsss! thank youuuu(4 votes)
- is the world a simulation(3 votes)
- i don't understand what that means(1 vote)
- Why will dependent and independent variables help me when i'm out of school and college?
What will it do for me?(4 votes)- If you follow a digrie of science, it will help you in your experiments.(0 votes)
- If you have to graph on coordinate planes with variables, what would your operation be(2 votes)
- What are you trying to ask? Operation usually relate to add/subtract/multiply/divide or other way to relate two things, a coordinate plane has x and y as the axes and a wide variety of functions (as well as non-functions) can be graphed on this plane. The shape of the graph often helps determine what type of function/non-function it is.(2 votes)