Independent and Dependent Variables Explained

This video tutorial explains independent and dependent variables using real-world examples. It covers how to identify these variables in tables and graphs, using examples like shirt costs and savings accounts to illustrate multiplicative and additive relationships. The tutorial also includes a final example to reinforce understanding of these concepts.

What is the definition of a dependent variable?

• A variable that is always numerical

• A variable that remains constant

• A variable that influences another variable

• A variable that depends on another variable

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CCSS.HSS.ID.B.5

In the shirt purchasing example, what represents the independent variable?

• The number of shirts purchased

• The type of shirts

• The cost of the shirts

• The store selling the shirts

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CCSS.6.EE.C.9

What type of relationship is demonstrated in the shirt example?

• Additive

• Subtractive

• Multiplicative

• Divisive

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CCSS.HSF-LE.A.1B

In the savings account example, what does the dependent variable represent?

• The initial amount given by Emma's mom

• The total amount in the savings account

• The number of days

• The daily deposit amount

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CCSS.6.EE.C.9

How is the additive relationship represented in Emma's savings account scenario?

• Total amount decreases over days

• Total amount increases by $1 each day

• Total amount remains constant

• Total amount doubles each day

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What does the graph of an additive relationship typically look like?

• A downward sloping line

• A horizontal line

• An upward sloping line

• A zigzag line

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CCSS.8.EE.B.5

In the context of the savings account, what does the x-axis represent?

• Total amount in the account

• Number of days

• Amount deposited daily

• Initial amount

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CCSS.8.EE.B.5

What is the relationship formula for Emma's savings account?

• x + 25

• 25 - x

• 25x

• x / 25

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CCSS.HSF.LE.A.2

How can you describe the relationship shown in the final example table?

• Multiplicative

• Divisive

• Additive

• Subtractive

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CCSS.HSF-LE.A.1B

What real-world scenario could the final example table represent?

• Cost of items in a store

• Earnings based on hours worked

• Temperature change over days

• Population growth over years

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CCSS.8.EE.B.5