What is dependent variable of c=40n+180

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

why does The dependent variable is the amount of money you spend on the cookies.

Because the amount of money you spend depends on the amount of boxes you buy.

If you have to graph on coordinate planes with variables, what would your operation be

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.

Main content

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:

6.EE.C.9

Google Classroom

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.

Practice

Problem 1

Current

You are buying boxes of cookies at a bakery. Each box of cookies costs dollar sign, 4.

Which of the following statements are true?

(Choice A)
The dependent variable is the number of boxes of cookies you buy.
(Choice B)
The independent variable is the number of boxes of cookies you buy.
(Choice C)
The dependent variable is the amount of money you spend on the cookies.
(Choice D)
The independent variable is the amount of money you spend on the cookies.

Want to try more problems like this? Check out this exercise.

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carolyn onischuk
Posted 4 years ago. Direct link to carolyn onischuk's post “What is dependent variabl...”
What is dependent variable of c=40n+180
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(20 votes)
Answer
- Banana bomb
  Posted 3 years ago. Direct link to Banana bomb's post “It depends, lets use an e...”
  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
  Comment on Banana bomb's post “It depends, lets use an e...”
  (12 votes)
RyanA
Posted 2 months ago. Direct link to RyanA's post “too much knowledge to fit...”
too much knowledge to fit in my brain
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rmidgett149
Posted 3 months ago. Direct link to rmidgett149's post “This is a bit confusing b...”
This is a bit confusing but i will try to understand it
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endermanlover
Posted 2 months ago. Direct link to endermanlover's post “is the world a simulation”
is the world a simulation
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- CoolGamëDev54
  Posted 16 days ago. Direct link to CoolGamëDev54's post “It is not.”
  It is not.
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geofred juarez
Posted 2 years ago. Direct link to geofred juarez's post “why does The dependent va...”
why does The dependent variable is the amount of money you spend on the cookies.
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(4 votes)
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- Chibby
  Posted 6 months ago. Direct link to Chibby's post “Because the amount of mon...”
  Because the amount of money you spend depends on the amount of boxes you buy.
  Comment on Chibby's post “Because the amount of mon...”
  (2 votes)
❣Shaira❣
Posted 16 days ago. Direct link to ❣Shaira❣'s post “After finally understandi...”
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.
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(4 votes)
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HenryH
Posted 3 months ago. Direct link to HenryH's post “If you have to graph on c...”
If you have to graph on coordinate planes with variables, what would your operation be
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(3 votes)
Answer
- David Severin
  Posted 3 months ago. Direct link to David Severin's post “What are you trying to as...”
  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.
  Button navigates to signup page
  (3 votes)
julie
Posted a year ago. Direct link to julie's post “I get both of them confus...”
I get both of them confused. How do I tell the differences of Dependent and Independent variables?
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nickyfd12
Posted 4 years ago. Direct link to nickyfd12's post “identify the variable bei...”
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
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LizzyS
Posted 5 years ago. Direct link to LizzyS's post “Why will dependent and in...”
Why will dependent and independent variables help me when i'm out of school and college?
What will it do for me?
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- nicolasl56
  Posted 4 months ago. Direct link to nicolasl56's post “If you follow a digrie of...”
  If you follow a digrie of science, it will help you in your experiments.
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