9. Multiple Representations (6.6C)

Front

What is a dependent quantity?

Back

A dependent quantity is a variable whose value depends on another variable. In a relationship, it changes in response to the independent quantity.

Front

What is an independent quantity?

Back

An independent quantity is a variable that stands alone and is not affected by other variables. It is often the input in a function.

Front

What does the equation p = f + 0.5 represent?

Back

This equation shows that the value of p is determined by adding 0.5 to the value of f.

Front

How do you identify dependent and independent quantities in a graph?

Back

The independent quantity is usually plotted on the x-axis, while the dependent quantity is plotted on the y-axis.

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b.

Front

What does the slope of a line represent in a graph?

Back

The slope represents the rate of change between the dependent and independent quantities.

Front

What is the purpose of a table in representing relationships?

Back

A table organizes data in rows and columns, making it easier to see relationships between variables.

Front

How can you convert a table of values into an equation?

Back

By identifying the pattern in the values, you can derive an equation that describes the relationship between the variables.

Front

What does the equation c = g + 8.00 represent in a real-world context?

Back

This equation indicates that the total cost (c) is equal to the cost of groceries (g) plus a delivery charge of $8.00.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of the dependent variable when the independent variable is zero.