Independent & Dependent Variables

Apple Shopping

If we go shopping for apples we can have two different scenarios.

1. We know our budget (how much we can spend) and we need to find how many apples we can buy.

2. We know how many apples we want and we need to find out how much the total cost is.

Let's take a closer look at each of the scenarios.

Poll

Scenario 1:

The number of apples (a) you can buy depends on what your budget (b) is.

Which one is the independent variable and which is the dependent variable?

• a= independent

  b= dependent

• a= dependent

  b= independent

Poll

Scenario 2:

Your total cost (c) depends on how many apples (a) you buy.

Which one is the independent variable and which is the dependent variable?

• a= independent

  c= dependent

• a= dependent

  c= independent

Let's keep practicing

Fill in the Blanks

On a math quiz,Tatiana earns 5 points for each question she answers correctly. She wrote this equation to find how many points she earns based on how many questions she answers correctly:

$p=5q$

 

Identify the dependent variable.

Multiple Choice

Marcos is bringing 36 cookies to his book club, but he's not sure how many people will be there. He wants to write an equation that shows how many cookies each person will get (c)  in terms of how many people are there (n).

• $$c=\frac{36}{n}$$

• $$n=\frac{36}{c}$$

• $$nc=36$$

Drag and Drop

The number of episodes they can watch is the

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​variable and the amount of time is the​

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variable

Drag these tiles and drop them in the correct blank above

dependent

independent

Fill in the Blanks

Rule: $y=\frac{x}{4}$

Given $y=4$ , what is the value of x?

Fill in the Blanks

Rule: $y=\frac{x}{4}$

Given $y=9$ , what is the value of x?

Fill in the Blanks

Rule: $y=\frac{x}{4}$

Given $y=2$ , what is the value of x?

Draw

Complete the table by using your drawing tool.

Draw

Complete the table by using your drawing tool.

Draw

Complete the table by using your drawing tool.

Multiple Choice

Given the equation $$y=x-1$$ , which graph makes the equation true?

• x= 2, y=1

• x=0, y=2

• x= 2, y=6

Multiple Choice

• $$y=x-1$$

• $$y=x+1$$

Multiple Choice

Which graph represents (x,y)-pairs that make the equation $$y=2x+1$$ true?

• $$y=x-1$$

• $$y=x+1$$

Multiple Choice

Which rule describes the relationship between the x- and y- coordinates on the following graph?

• $$y=x$$

• $$y=2x-2$$

Multiple Select

You are buying boxes of cookies at a bakery. Each box of cookies costs $4.

Which of the following statements are true?

Select 2 that apply

• The dependent variable is the number of boxes of cookies you buy.

• The independent variable is the number of boxes of cookies you buy.

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

• The independent variable is the amount of money you spend on the cookies.