Understanding Variables and Relationships

The video tutorial covers additive and multiplicative relationships, explaining how they differ in terms of equations, graphs, and examples. Additive relationships involve adding a constant to an independent variable to get a dependent variable, while multiplicative relationships involve multiplying the independent variable. The video provides examples and explains how to identify these relationships in graphs and equations.

What is the primary difference between an independent and a dependent variable?

• Independent variables are always numbers, while dependent variables are always letters.

• Independent variables are always larger than dependent variables.

• Independent variables are manipulated to observe changes in dependent variables.

• Dependent variables are manipulated to observe changes in independent variables.

In an additive relationship, how is the dependent variable typically calculated?

• By multiplying the independent variable by a constant.

• By adding a constant to the independent variable.

• By subtracting a constant from the independent variable.

• By dividing the independent variable by a constant.

Which of the following is true about the graph of an additive relationship?

• It always passes through the origin.

• It never crosses the origin.

• It forms a curve.

• It is always horizontal.

If Owen is always two years older than his sister Greta, what kind of relationship is this?

• Additive

• Logarithmic

• Exponential

• Multiplicative

In the example of saving money, what is the initial amount saved?

• $10

• $0

• $1

• $6

In the example of saving money, what is the equation used to calculate the total saved?

• Total = Weeks / 6

• Total = Weeks * 6

• Total = Weeks - 6

• Total = Weeks + 6

In the example of saving money, what is the equation used to calculate the total saved?

• Total = Weeks / 6

• Total = Weeks + 6

• Total = Weeks - 6

• Total = Weeks * 6

How does the length of a rectangle relate to its width in the given example?

• The length is half the width.

• The length is four more than the width.

• The length is equal to the width.

• The length is twice the width.

In the example of rectangles, what is the equation relating length and width?

• Length = Width + 4

• Length = Width - 4

• Length = Width * 4

• Length = Width / 4

In the example of rectangles, what is the equation relating length and width?

• Length = Width / 4

• Length = Width * 4

• Length = Width - 4

• Length = Width + 4