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### Course: Numerical & Algebraic Expressions <219 > Unit 3

Lesson 2: Dependent & independent variables# Dependent and independent variables review

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.### Example:

You are doing chores to earn your allowance. For each chore you do, you earn $\mathrm{\$}3$ .

**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.### Example:

Let's use the same context.

You are doing chores to earn your allowance. For each chore you do, you earn $\mathrm{\$}3$ .

**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(19 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(26 votes)

- why is the question in kilometres but the answers are in miles?(18 votes)
- America ya :D(2 votes)

- too much knowledge to fit in my brain(13 votes)
- This is a bit confusing but i will try to understand it(8 votes)
- basically the dependent variable is the number that changes based on what you change the independent variable to, and the independent variable is the number that you are changing on purpose.(1 vote)

- do you like cats?(5 votes)
- Yup cats are the best!(1 vote)

- I get both of them confused. How do I tell the differences of Dependent and Independent variables?(4 votes)
- this is confusing and i need help

and one more thing WHY DID THEY HAVE TO ADD LETTERS?! :((4 votes)- I have no idea.(1 vote)

- 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)

- Alternatively ,could the no. of boxes I buy depend on the price ?(here price being the independent variable that influences the no of boxes). for ex- say I want to buy 4 boxes of cookies but each box turns out to be 20$,this info then influences me to buy 3 boxes instead of 4 because of high individual cost of each box.(2 votes)
- That's only if you have a budget of 20$ :)(3 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(3 votes)