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## 6th grade (Illustrative Mathematics)

### Course: 6th grade (Illustrative Mathematics) > Unit 6

Lesson 16: Lesson 16: Two related quantities, part 1# Dependent 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(7 votes)
- This is a bit confusing but i will try to understand it(5 votes)
- is the world a simulation(4 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)

- After finally understanding how this works, here is what I know so far. Let's say we have graph coordinates that say

(0,2)

(2,6)

(3,8)

the relationship between these coordinates is y=2x+2.

Let's take the coordinate (2,6) for example, 6 is the y coordinate and 2 is the x coordinate. The equation y=2x+2 is replaced with the variables 6=2×2+2.

(If a variable and a number are next to each other it means those 2 numbers are being multiplied.)

if anyone is confused, the y variable is being a dependent variable (the one your solving for), then you replace that y variable with the y coordinate. Then you do the same thing with the x coordinate. That's how you solve independent and dependent variables on a graph.(4 votes) - If you have to graph on coordinate planes with variables, what would your operation be(3 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.(3 votes)

- I get both of them confused. How do I tell the differences of Dependent and Independent variables?(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)
- Why will dependent and independent variables help me when i'm out of school and college?

What will it do for me?(5 votes)- If you follow a digrie of science, it will help you in your experiments.(0 votes)