Ch 4 Test Review

Front

What is the independent variable in a function?

Back

The independent variable is the variable that is changed or controlled in a mathematical model or experiment to test its effects on the dependent variable.

Front

In the context of a ferris wheel, what does the independent variable represent?

Back

In the context of a ferris wheel, the independent variable (time) represents the duration of the ride, which affects the distance from the ground.

Front

What is a dependent variable?

Back

The dependent variable is the variable that is measured or affected in an experiment, depending on the independent variable.

Front

Identify the dependent variable in Grace's treat problem.

Back

The dependent variable is the number of treats, which depends on the number of students.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line, showing a constant rate of change.

Front

What is a nonlinear function?

Back

A nonlinear function is a function that does not graph to a straight line, indicating a variable rate of change.

Front

What is a parabola?

Back

A parabola is the graph of a quadratic function, characterized by its U-shape.

Front

How can you identify a linear equation on a graph?

Back

A linear equation on a graph will show a straight line, indicating a constant slope.

Front

What does the slope of a line represent in a linear function?

Back

The slope represents the rate of change of the dependent variable with respect to the independent variable.

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are constants.